The refined conclusion remarks and further work

• Research Director of CTAC: "Master of Science by Research? That's fine. But workload of your supervisor is heavy duty. You may need 1.5 years to complete your course despite an ordinary course require just 1 year. Is that really what you want to do? Here is an offer of M.Phil/Ph.D course to you. It is 3 years doctrate course. You can transfer 2nd year of M.Phil to 2nd year of Ph.D when you satisfy criterion. I suppose this is the one you want to do. How do you think?"
• Me: "Skip Master of Science? That's fine. It seems very interesting offer to me. But is there any scholar ship? Your research lab has connection to car industry. Is it possible to provide me any scholarship?"
• Research Director: "Could you please send me recommendation letters and CV?"
• Me: "Recommendation letters are included in my application package. CV is attached to this email as PDF. Could you please refer to those?"
• 1 weeks later
• Research Director: "Conratulations! We can offer you EU rate scholarship!"
• Me: "Thank you very much. I determined to attend to your research lab. See you on Coventry."

That is the start point of my research career.

How should smart material systems be modelled? My major is theory of robust control. I thought there should be application to think about theory.

• Me: "There would be article of modelling of smart material systems. Let's go to library."
• Me: "Hmm... There are not article of modelling. OK, let's do modelling by myself. Finite Element Method (FEM) may have a connection to modelling of smart material systems. Oh, there is book of FEM in library."
• Me: "There is also basic article of piezo. Hmm... original FEM does not work for control. But some modification, I think it does work as model for control. Let's call it digital lagrangian"
• Me: "16 pages LaTeX document is made. Let's try to ask about my research to my supervisor"

I subumitted my research proposal to my primary supervisor after 6 months of my work at research lab at CTAC, Coventry University.

• Me: "My master, here is my research proposal which is about smart material systems and robust control. Is it OK to proceed it?"
• Dr. David: "That seems fine. That's it. You can do that!"
• Me on research desk. Research director of CTAC comes: "Hey, I read your research proposal. That is fine. But for what purpose, this project will be done?"
• Me: "It could be used to control vibration or bend of wing of aeroplane."
• Research director "So what?"
• Me: "If material gets more light, it would be bend or vibrate. It could be controlled. Thus, I think it is important topic."
• Research director: "So what?"
• Me: "If material gets lighter, engergy used for aeroplane could be reduced. I think it is important thing."
• Research director: "That's it! You can proceed this project. I admit. I suppose we can think about an application of this theory more. I think to think about ridiculous thing is important."
• Me: "Now, you know that I'm not only mathematics but physics?"
• Research director: "Of course. Bye for now."

• Me: "Here is my idea of robust control not sliding mode, which consists of 3 pages analysis and 2 pages numerical simulation. Which tracks nominal system by observer. Then, control input of observer should be close to disturbance to nominal system. May I proceed this idea?"
• Dr. David: "Really? It seems fine. Interesting. Sure. Just do it"
• By the most easiest version of disturbance observer, article was published. Thus, criterion of transfer to Ph.D is satisfied.

A professor of University of Tokyo said on his web page that if you want to make original, don't do survey until you go to a middle stage of your research. Proceed your idea, and when you reach to middle stage, do a survey. If you do this method several times, your research would get close to real original on someday. Author believes that way and proceeded my research.

The result? When it had been at Coventry, Author had read around 100 academic articles after his middle stage and cited 38 articles for analysis of competitors in the world to prove it is an original research. In the world? By definition, it could be said that researchers work in the global environment both for recent and classic. Author got M.Phil as you see. Author went to an international conference by the result of M.Phil research. Author was a Chief IT Architect in the field of search engine. Author was a specialist in a fashion tech venture company and finally, author is a business application framework developer in the field of SI (IT).

So, why this real M.Phil thesis? The following is the reason and motivation to write this final version of thesis. Just after my viva, which is final presentation of his research:

• Professor: "From now on, we will disucss about your degree. Could you please wait at outside of that door for 15 min?"
• Author was on outside of door.
• Professor: "If it were application, he is Ph.D."
• Me: "Ph.D for 2 years after my Bachelor? Which is not possible. But what is not satisfied by my research thesis, then?"
• Professor: "Come in. Conglatulations! We grant you the degree of M.Phil."

My research career has been started from this VIVA with some questions. Application? There is an article of digital lagrangian and smart material systems. Lack of something on theory? It had been supposed to write about numerical experiment for nonlinear dynamical systems without robustness for 3rd chapter for 3rd yeaer of his Ph.D. OK, it may be required to write about robustness even for nominally lineaer systems by numerical experiment and investigation of theory from the view point of numerical experiment especially with nonlinear disturbance. It is supposed that that is something pointed out by a professor of Coventry University. Moreover, to make theory deeper, additional chapter for what is a control has been added.

Oncemore, this research had been started from the above conversations at the beggining and ending at CTAC, Coventry University. This is the his 2nd challenge as a principal investigator (PI). This project is succeeded. As you see, finally, the core thesis gets close to 160 pages by only mathematics.

What is a detail of this research? This thesis is all about what is a modelling, what is a control and what is a robustness. That is all.

Here is author's suggestion about applications for this theory.

Target of control of this research is material such as CFRP. However, there could be other kind of application areas such as fluid dynamics and electro-magnet dynamics. It means that even mechanical heart could be target of control and better or faster mobile phone than 5G could be made. Ultimatelly, if it were controllable/observable, even weather could be controlled.

In recent year, importance of automatic controlled vehicle gets higher. What kind of theories or techniques are used in automatic controlled vehicle? Those are control enginering, machine learning and more. Author was a specialist of machine learning in Japanese venture company as Chief IT Architect who is a general manager level. Also, as shown in this thesis, author was a specialist of adaptive robust control. Moreover, author was a Project Manager (PM) in IT (SI) company and head of office which is mixture of PM and Product Manager (PdM). In the view point of triple of machine learning, robust control and PM/PdM, there could be still problem for automatic controlled vehicle if it were used in any situation in daily life of ordinary person.

Why automatic controlled vehicle? It could be said that the current topology of train based transportation of people in Tokyo is not robust but weak with respect to some accident. That topology is star network type composed by Yamanote-line and private train companies from major terminals. A solution would be distributed Tokyo. In distributed Tokyo, there are many small but dense and compact town or city. Inside city, it can be spent life with walking, bicycle and small automatic controlled hybrid-car. Each towns are spread over distributed Tokyo almost randomly. Inter-connection between town or city is done by automatic controlled bus whose number is really high. If there are many bus and other kind of automatic vehicles, it could not be deployed by human but automatic controlled bus would be better choice. Therefore, automatic controlled vehicle is better choice as for strategy of Tokyo or big region in Japan.

Yet another point of vehicle is price and cost of production. There are cheap enough Japanese car. That is fine for Japan and some other G8 countries. But how about development countries? If it were Tokyo region, generally speaking, train is used for ordinary transportation and ordinary people does not require vehicle. But if there are no train? In development countries, there may not be train. Moreover, without vehicle, foodstuffs, materials for industries cannnot be tranported. Therefore, more cheap vehicle would be required. The question is using Yet Another Mori-Tanaka, cheap but good material can be made? That would be realized by mixture of knowledge/technique of mechanical engineering and MBA.

Finally, for vehicle, ultimate application of digital lagrangian and K-Disturbance observer is gas-engine. If internal of gas-engine is effectively controlled using those theories, what would be happened? Effectiveness of energy is important for all over the world. Thus, it is recommended to research that topic.

Something similar with automatic controlled vehicle could be said to robotics. Since it is mixture of control engineering and AI or machine learning. What are applications of robotics? The first one is Aibo from Sony which is dog type robot. It might be good for ordinary person who want to play with dog but it cannot be because of some limitation. Author thinks that delight, play or hobby is important for most person to spend good life. The latter one is manufacture of CPU. Without robot manipulator, how to make CPU? Without having good CPU, we cannot have smart phone. How to spend life without smart phone?

Yet another application of robotics is warehouse. Author heard that Amazon US utilize partially automatic controlled robot for their warehouse work. in Japan But in Amazon JP, it is done by human. Why? Because Japanese is very good for operation. This is related by their PL and strategy. Another implication of this fact is robotics could steal job of human. There are several fight between human, system, robotics and machine learning or AI. What is job? What is engineering? What kind of contribution should be made by engineering? This is very philosophical question.

This is because of machine learning or AI? Similar kind of things has been found in the history, especially by IT. There is Amazon. It started by selling book. However, we now can buy PC or even cloth. Amazon makes ordinary shops obsolete. We have Excel. We, marketers or strategic officers, handle several signals by Excel for their business. By old days, it might be done human who are assistant staff. But anymore. In Japan, there are several accounting software for their BS/PL/CF. We can handle accounting data by very simple way. It makes several ordinary tax accountants obsolete. There are several net-banks. They make not all but some ordinary banks obsolete. Author supposes an answer to above question is education. Not only IQ but EQ as well possibly for operation.

Is there better alloy than MacBook Air and iPhone? Actually, this thesis is written by MacBook Air whose material seems special. iPhone seems to use special alloy. MacBook Air suddenly appeared about 10 years before from now. Provided that, if Yet Another Mori-Tanaka is used to make better alloy, is it possible to make better material for Note PC and especially for smart phone? In recent years, every person use smart phone. Without smart phone, we cannot spend any life anymore. Author supposes that the answer to the question for material of smart phone is affirmative.

There are several topics which should be investigated as further work.

It is supposed that nominal matrix obtained via digital langrangian is too high order, its order of calculation by CPU via DA converter get really high. If it were too high and not calculated by one CPU, super fast CPU or distributed CPU will be required. It is supposed that if calculation is linear, it is possible to handle by distributed parallel processing such as MapReduce.

As for dimension of nominal system, dimension reduction which is something similar to my SVD-PCA algorithm could be applied to a system as a result of digital langrangian. It is interesting to investigate what is a input matrix B, controllability and observability for dimension reduced system. Even dimension of nominal system is reduced, N-dimension system analysis is still required since if original system is 10,000,000 dimension, it would be 1000 dimension so, numerical analysis would suffer to difficulty and therefore, N-dimension analysis would be required.

Note: Although it is not about control engineering, author would like to mention about page rank and Google search engine. Google may use eigen vector to calculate their page rank. It would be one dimension. So, what will be happened if it were 2 dimension page rank? What will be happened if its dimension is reduced? There would be visual output 2-dim type matirx search engine. In addition, what will be happened for page rank if random walk system is nonlinear? Although this is a topic of computer science, it is very interesting.

Note that author has forgot that author heard the linear part of 2-dim page rank has already been investigated by someone. It would be correlated with author’s article of page rank. However, for nonlinear part, it would not be investigated. Author thinks that nonlinear part would be important for future search engine. Therefore, for for further work, in Japan author leave this part.

The most easy example of nonlinear page rank would be social media link. Before twitter generation, link structure would not be changed so quickly, though there were blog in that time. Thus, it would be linear page rank approximately. However, after twitter, links have been started to spread by very high speed. So, it would have some effect to rankdom walk so quickly. Therefore, it would be nonlinear.

Yet another interesting point of dimesnion reduction is it is related to eigen value decomposition and what happens if it were nonlinear system. If it were linear, it is possbie to reduce dimension of nominal system matrix A using major mode of that system. However if nonllinear system f is expressed by time-varying system matrix A(x, t) with taylor series with each t and x which is state, is it appropriate to reduce system using major mode for each t?

Relating to the topic above, and considering something talked about this issue by other persons, author suppose there would be nonlinear sliding mode surface if eigen value of each A(t) which is as a result of taylor series of nonlinear system f(x, t) with each state x(t) is slightly changed for each time t. It means sliding surface is curved but smooth. This would be related to manifold and differential geometry, though author is not specialist of these topics. This question is remained to another type of researcher of dynamics and pure mathematicians.

It is imagined that there are relationship between Hilbert space and smart material systems since it could be assumed that using Hilbert space, infinite dimension system could be analayzed. Using digital lagrangian, PDE is converted to high order ODEs can be obtained and analyzed/applied numerical calculation. According to wikipedia JP, it could be imanged that using Hilbert Space, PDE could be modelled. Since the author's major is applied mathematics, it is not 100% sure that it could be imanged that using Hilbert space, infinite dimensional system could be utilized. In the analysis of K-Disturbance observer for smart material systems, arbitrary N-dimensional system, which is close to infinite but infinite system is used. It could be supposed that using PDE and Hilbert space, the new kind of theory of control engineering could be made. In this thesis it is supposed that if distance between each state is converged to zero, high order ODEs is converged to infinite dimensional ODEs. Therefore, it is imanged that there is connection between digital lagrangian/K-Disturbance observer for smart material systems and PDE/Hilbert space for smart material. Since the major of the author is applied mathematics, it could not be 100% sure. The analysis of pure mathematician is wated.

Relating to smart material systems and PDE Hilbert space, it is supposed that there could be pure mathematics venture in the near future. Using PDE and Hilbert space without super computer, fluid dynamics would be analyzed for Shinkansen, which is ultra high speed rapid train in Japan, then, new kind of Shinkansen is made without super computer and its cost may be cheap enough. It could be said that is the way of venture. It could be supposed that JR-Tokai would do M&A the result of that venture. How do you think pure mathematician?

It could be said it is not limited to a venture but University. Since using super computer require much cost, it is not appropriate to use super computer in University. Thus, to reduce cost, using Hilbert space or other mathematics is recommended.

A person mentioned me that Google may require Hilbert space as well. It is supposed that to calculate page rank with too high order matrix, numerous number of Map/Reduce cluster is used in Google. How to compete with them, with much less cost? Hilbert space. It is assupsed that there could be person to fight against Google Global as I had been in young age.

It is supposed that if piezo material is attached over all x-y region of host material, and if digital point of lagrangian is taken small enough, nominal system converges to controllable and observable.

It is uncertain that robustness and order of calculation if there are digital control version of K-Disturbance Observer.

It is also uncertain that accuracy of piezo material.

If a nominal system is nonlinear, if a system matrix obtained via taylor series with each state, and if it were controllable and observable for each time t, it could be possible to control robustly using K-Disturbance Observer. Moreover, it is supposed that if nonlinear gain schedule controller with appropriate boundary with gain K shown in numerical simulation example, it could be controlled with nonlinear feedback.

In this thesis, the robustness with K-Disturbance Observer for high order linear uncertain system, which is smart material systems, is proved mathematically. Since there are problem of order of calculation, max limitation of control input and accuracy of piezo material, it is uncertain that it can be controlled robustly in practice. Also, since it is required to be proved mathematically, control algorithm is made as simple. Moreover, transient response could not be so good. However, it is shown that as a theotry, it can be controlled robustly.

Rest of topics which had been investigated is described in my core M.Phil thesis.

"I will go to economics." That was said to a professor just after my VIVA, the final presentation of my M.Phil research. This is all about rest of my career.

Aim of my M.Phil research is to reduce energy consumption of mechanical systems. My private motivation is to make ultimately new bicycle. Why I changed my purpose or aim? That is because of fact that I had done everything in terms of theory for smart material systems. Then, I thought to see about other persons and society. This is an effect of U.K culture.

When I was a high school and undergraduate student, from my point view, Japan seems to have everything though it was after bubble of economy. Thus, I chose to chase my own dream. Now, 2022, however, Japan seems to lose everything. That is why I am now working as strategic consultant and IT architect for society of Japan.

I thought to make the economy of South Korea better to unify South Korea and North Korea after 20 - 40 years later after my M.Phil. This is why I chose being as an investment banker or a IT person who make ERP system.

Why economics if it were about Korean Peninsula? I thought it is very similar to unification of West and East Germany. Around 1990, author supposes West Germany was one of the best in the world in the sense of economy. Even so, it might be difficult to acquire East Germany because an economy of East Germany is weak. It is obvious North Korea is economically weak country. What is an economy of South Korea? In South Korea, there are Samsung, LG and Hynndai. It is strong enough now. But in the past, it was weak. Thus, I tought to do global optimization of South Korean economy using the power of investment bank or ERP system.

Actually, there was Asian Financial Crisis around 1997. By that phenomenon, South Korea got under control of IMF. However, it has been recovered. Now, they have Samsung, LG and Hynndai. Its GDP per person is now close to that of Japan. The problem of Korean Peninsula has got close to end. Then, I switched to Japanese problem.

Is Japan deflation? No. It is stagflation. Is Japan leading country in the world? No. Its GDP per person is not so high anymore. I think it is very dangerous situation for Japan.

Is it possible to turn around Japan? I think the answer is affirmative in the sense of strategy. Here is all strategy (in Japanese) required to Japan namely: "New Abenomics 5 + 2 arrows".

I am British upper master, bilingual and IT person. I can survive if a country's common language is English. Therefore, I will remain in Japan just before it gets collapsed.

In New Abenomics, there is about new industry and VC. That is a part of strategy of Japanese government. So, what is an implementation? Author thinks one of those are quantum physics and magic with digital lagrangian and their industry applications. Is it British joke? No. Author is serious. Recently, Silicon Valley has been changed. There are huge amount of equity finance and new kind of venture which is not web anymore.

Is the new industry ended by IT such as Google? Author thought that is yes. But it is not anymore as described above. How to pursuit Silicon Valley? How does it growthed in new industries? The answer is: 1. to make better doctors; 2. to make better finance persons such as double master and experienced persons; 3. to make better finance scheme; 4. to make better environment to incubate venture company; 5. to make better bridge between universities and venture companies.

Making quantum physics venture and magic venture and its industry applications is just a dream and it is impossible? There is cybernics and HAL in University of Tsukuba. There is Smart Material Systems in Coventry Univeristy and University of Warwick. They seems just Japanese animation but real universities researches. Both of them require many years to realize in industry. We did it. So, why quantum physics venture and magic venture cannot be made? The author cannot find any reason to reject that idea.

What is a quantum physics? Author does not know much about that subject. But author knows there is PDE called Schrödinger equation. It is sometimes ODE, sometimes PDE. If it were PDE, numerical calculation could be done using Finite Element Method (FEM). However, if there is energy of Schrödinger equation, what will be happened? It could be converted to high order ODE and then, it could be analyzed and even controlled. This is author's hypothesis. Author would like to know answers from pure physics researchers. Is it problem of science? Is it problem of applied physics? Or is it problem of engineering?

As well as better doctor, better master is required. Master is a lesser doctor? Compared with doctor, lesser insight for research? Author thinks it is no. My definition of master is using the power of research, engineering and science, to tackle to real business. Actually, as a head of growth hack office, author deployed my ability of hypothesis driven and numerical analysis technique and lead the team success. Author is upper master and being in the field of business though author is a half researcher. In that sense, upper master is enough for author.

Now, at 2022, I am 45 years old. Dr Sankai said to me that "You will baton touch to other persons when you get 20 years later.". I was about 25 years old in that time. When I was a head of growth hack office and specialist of system develop department, I said to all company's member: "I will resign head of office 10 years later. You could be the next generation head of office." which was about story at 2016 and I was 39 years old.

I have my core work in Japan which is operation kaizen and business application framework. It will require 10 years to complete requirement in the sense of business or policy of Kasumigaseki which is called working style evolution.

Although it is little bit late, after 10 years later from now, I will switch to education. Which university I will go? University of Tsukuba? Keio University? My current answer is NMD college which is private study/research group. It cannot grant degree. But really degree matters? Is it OK not being as official university? I think the answer is yes. It is a style of Shibuya and Roppongi. Keio University had been a private study group at start but it is one of the best private univeristy in Japan now. Why not NMD college?

There is a suggestion to Ministry of Education of Japan. Could you please teach high school students about connection between mathematics, physics and computer science? There are applications even in the area of marketing, economics and psychology. I have several topics which can be taught to high school student with interesting applications. It may be hard to re-organize high school text book. But it could be possible to teach from teacher to student by oral communication without text book. It would be better even there is study for University entrance exam since it would be deep understanding if there were real applications with mathematics. There are many hints in Amazon.co.jp or Amazon.com. Please think about that.

Since this thesis can be read by smart phone, there may be a reader who is a high school student. One may think that he can go to Shinshu University, University of Tsukuba and Coventry University because he had money. I cannot do so because of financial reason of my family. No I didn't. I worked as a bicycle meseenger in Tokyo to earn money for my undergraduate study. I had a tuition fee exemption in Shinshu University. I had a scholarship in my M.Phil/Ph.D research in British University. Please go to University at least until you get master's degree. If you study and research really hard, you can go to very good company such as Jaguar, Honda, Toyota or DeNA. If it were IT, you can be general manager at early 30's. You can earn much money especially in IT industry. Is much money required to study and research? No. Only pen, note, functional calculator and PC is required. Is PC expensive? It is better to buy cheap note book and install Ubuntu. That is all.

Why education? That is simple. The only resource Japan has is human resource. Thus, to make better country, I will involve in education. It is too simple? Author thinks that since it is essence, it is simple.

This is a thesis of engineering or science? A part of digital lagrangian seems hybrid of engineering and pure physics. A part of K-Disturbance observer seems hybrid of engineering and pure mathematics. It could be a difficult question. It could be said this is a thesis of science-engineering. That is a because of the fact that the origin of the author is engineering, primary supervisor is a pure mathematician and this thesis is composed of physics, mathematics, control engineering and tiny little essense of computer science. One should has only one specialization? It should be No. That is the education of University of Tsukuba, Japan, especially college of engineering systems. There are a lot of hypothesis and expectation in further work of this thesis. Answers to those questions from science and engineering persons are waited.

A reader may ask the author a question: "Don't you really need Ph.D?". The answer is: "No, I don't". If it were Ph.D, the author would be pure researcher in the field of control engineering. Since the author is a M.Phil in the field of control engineering, the author could go to the field of computer science, IT, business, equity finance, and strategy regardless of it is theory, strategic officer or genba in Japan. M.Phil is based on a doctor course which is close to doctor but upper master. That is a M.Phil. There is public purpose in his business but there is also his private purpose as well. Donc, the author is really satisfied with M.Phil not Ph.D.

Why genba in Japan? Because of Japanese genba, a member of Japanese society can earn fruit of the very best 1. internet communication network, 2. train transportation, 3. convinience store, 4. logistics 5. customer service and more. That is all from strong Japanese genba and makes quality of life better. When author works in Japan, he works with attitude of British and partially American. Because author knows that combination of Japanese genba and British mid-level or high-level officer is strong. Or sometimes, as a programmer, author oneself works as genba person.

If one permits me as genba person in Japan with Ph.D, especially in IT industry, there could be possibility such that he would go to Ph.D course to obtain his Ph.D.

Finally, the author would like to close this thesis by special acknowledgements to some organizations and persons.

First of all, author would like to express special thanks to T-Serv, Kogin (now which is Misuzho Corporate Bank), Goldman Sachs, Morgan Stanley, other investment banks, Bloomberg, McCann Erickson Japan, Daiichi-Kikaku (now which is ADK Holdings), Hakuhodo and Dentsu. Without having their support, author cannot go to Shinshu University and University of Tsukuba as a undergraduate student.

Also, author would like to express special thanks to HSBC Bank, UK. They issued me banking card with debit function, credit card and even cheque book even I came form outside EU region. Also, limit of his credit card get higher time gets by. Without their financial support, it is not possible to finish my M.Phil research.

Author would like to express special thanks to Citibank Japan. Without their financial support after going back to Japan, author cannot spend good life as a researcher of NLP/Machine Learning. Although the area of research is different, without that experience, this final version of thesis will not exist. As well as Citibank, author would like to express special thanks to ex-Kogin VC person and Hakuhodo group. Without their equity finance for C2cube, which is 0.2 billion JPY, author cannot continue to do research of NLP/Machine Learning and then, it is not possible to write this final version of thesis.

Although VC or corporate finance in Japan gets better, the author does thinks that UK and US are the best countries for the retail finance in the world.

Author would like to express special thanks to Mr. Linus, Mr. Stallman and Dr. Knuth. Without GNU/Linux and LaTeX they made, this theis cannot be written. Also author would like to express special thanks to Microsoft. Actually, this final version of thesis is written by VSCode they made. This text editor is excellent and the very best text editor I have ever used. Author also would like to express special thanks to Apple. The final version of this thesis is written by MacBook Air. This Note PC is the very best hardware I have ever used. In addition, author would like to express special thanks to Dr. Alan Kay, Mr. Steve Jobs, NeXTSTEP and Xerox Palo Alto. Actually, final version of this thesis is written on macOS, macOS is the very best OS I have ever used and the origin of modern macOS is those persons and organizations.

Moreover, author would like to express special thanks to ARM and designers of Apple M1 chip. This chip is ultra fast to calculate dynamics of systems for numerical experiment of this research. The situation of CPU has been changed comparing with 20 years before when I had been a postgraduate student. It would be said that if it were 20 years before, super computer would be used for numerical experiment for 3rd and 4th year of my Ph.D research to drive fast hypothesis driven PDCA cycle. Using Apple M1, it is possible to do research without super computer or CPU cluster.

Author would like to exprss special thanks to Google Global. Without excellent search engine they made, it was not possible to find out Coventry University and cannot find some facts which I want to know on the net for my research and study. Also, author would like to express special thanks to Amazon. Without super book store they made, I cannot continue to have basics and advanced topics especially for computer science and business. Author also would like to express special thanks to Mozilla. Without web browser they made named Firefox, freedom to access to the web may not exist. Author would like to express special thanks to NTT group in Japan. Without very best communication network in the world they made, my research may not exist.

Author does believes that the Internet is the key driver to leverage the power of an individual against big companies, organizations or even countries.

Author would like to express special thanks to Hosei University Second High School and its teachers. They applied me very good education. It is a very good environment in the sense of both hardware and software. There is a very good cafeteria, there is a tennis court, there is a place to do baseball. There is a 400m track for sports. We, students, have a freedom to involve in study, hobby or sports. I have a right to study for national university entrance exam in a class room. Since it is university belonging to high school, we are differenet from ordinary high school. It is American style high school but Finland style education at least for me. Author would think that if author had passion as the same level as I was in England as reseearch student, I could go to Azabu or Kaisei high school, which are the top of top high schools in Japan. However, for me, Hosei is the best match. Without experience of sport, which is bicycle club both track and road, in that high school, I would not have motivation for mechanical engineering and thus, I would not be applied mathematician. Without being applied mathematician I cannot be an algorithm designer, a framework developer and a strategic consultant. Therefore the current situation would not exist without experience of this high school.

Author would like to express his special thanks to Shinshu University, Japan. This university inherits the tradition of Japanese old-style high school called "kyusei-koukou" which is assumed to be equivalent to sixth-form of UK. Although Shinshu University is mid-level university in Japan, its level of education is very high and therefore, author has got very good insight for basics of engineering until he had finished 2nd year of university. Then, study in University of Tsukuba, which is applied topics, is easy for him.

Author would like to express his special thanks to University of Warwick, England, especially its library. That library issued me permission to use library and card which is used to enter library and can be used 3 years as a Ph.D candidate. Although Coventry University has good library, it is master's level. Without very good and vast library by University of Warwick, it had not been proceeded to do his research in Coventry University.

Next, author would like to express special thanks to his supervisors at my M.Phil research in Coventry University: Dr. David and Dr. Keith. Without their support and discussion in the presence of uncertaininty, this thesis would not exist. There is discussion with Dr. David, who is a primary supervisor, once per week for every week not with assistant or lecturer. Dr. David is a reader who is close to a specialist. Author thinks it is very good environment for research in the sense of software.

Actually, his experience of postgraduate school is not master's but doctor's course. Moreover, he had been close to a PI in his research. That is the key driver for author to start his life as a researcher.

Also, author would like to show his special gratitude to Dr. Kawai, Dr. Kon-no and Dr. Sankai of University of Tsukuba. Dr. Kawai permitted me as being a PI even I am a 4th year undergraduate student and it was failed. It led author to the success as a PI at Coventry University as a M.Phil student. Dr. Kon-no taught us basics of nonlinear dynamics especially for numerical calculation such as phase-plane in experiment for 3rd year student. After that, it was found in text book of nonlinear control that 65% of topics of nonlinear dynamics is almost covered by that experiment and some kind of white board work. Actually, numerical experiment of this thesis is based on what he teached. Dr. Sankai suggested me to be a control engineering researcher and taught me several interesting topics about research.

Finally, author would like to express special thanks to Mr. Naoya Ito. Without culture of Japanese web industry he made and a web system called Hatena Book Mark2, Author would not exist as an IT engineer/strategic consultant and author would not be possible to obtain insight for economics and business.

The result of going to economics after my M.Phil? Here is the strategy for Japanese government, Kasumigaseki and Bank of Japan which could be used to turn around the situation of Japan. That is the result of latter half of his professional work in Japan. This thesis is wirtten by Japanese since it is the strategy for Japan and the author wishes that this article is better to be read by ordinary Japanese people by smartphone.

The author does believes that Japanese economy gets recovered and its GDP per person gets better.