Book Description
Geared toward upper-level undergraduates, this text introduces three aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory optimization. Numerous problems, which introduce additional topics and illustrate basic concepts, appear throughout the text. Solution guide available upon request. 131 figures. 14 tables. 1970 edition.
Customer Reviews:
Very good book........2007-05-09
A really good book for introduction to Optimal Control. As a Power System specialist, I acquired a very good comprehension about optimal control using such book.
Very good introduction.......2007-04-07
A complete introduction to optimal control theory, both from the point of view of dynamic programming and the Pontryagin's maximum principle. Ideal for starters like myself!
Classic that never goes out of style.......2006-04-19
My professor chosed this book to use in an Optimal Control class partly because it is very affordable. On top of that, its contents are superb, giving very clear explanations of the fundamental principles underlying Optimal Control for nonlinear/linear systems.
Despite its long history, I would think that all material are still relevant, although there are available more "modern" numerical techniques (it's still always good to know how things were done "back in those days"). I would grade this as a must-have for the beginning student in Optimal Control. I have always been a fan of Dover books, publishing quality books at rock bottom prices. This one has just reinforced my liking of Dover Publishing.
Practical Excellent Introduction.......2005-11-17
It is an excellent "first book" which is very easy to read and covers broad range of topics: Dynamic Programming leading to Hamilton-Jacobi using Bellman's principle, Calculus of Variations, Hamiltonian Equations, Pontryagin's principle and finally numerical solutions (two point boundary value problems based and using direct methods from operations research methods).
A Global Optimum of an Optimal Control Book.......2005-06-10
This book is very reader friendly. It introduces Dynamic Programming, Variational Calculus, Pontryagin Minimum Principle and in its final section some Numerical Methods. Despite being published in the seventies, this is a truly GOOD CLASSIC (there are bad classics).
In my opinion, to the student, Kirk is superior to Citron, to Athans and to Lewis (this is more recent), that is, this book is more concerned about teaching people. Athans is more encyclopedic but much more time-consuming to read.
With Kirk you will really learn the elements of optimal control theory.
Book Description
This book gives an introduction to the basic theory of stochastic calculus and its applications. Examples are given throughout the text, in order to motivate and illustrate the theory and show its importance for many applications in e.g. economics, biology and physics. The basic idea of the presentation is to start from some basic results (without proofs) of the easier cases and develop the theory from there, and to concentrate on the proofs of the easier case (which nevertheless are often sufficiently general for many purposes) in order to be able to reach quickly the parts of the theory which is most important for the applications. For the 6th edition the author has added further exercises and, for the first time, solutions to many of the exercises are provided.
Customer Reviews:
A very good book!.......2007-07-05
I read this book after I had read Karatzas' and Shreve's book "Stochastic Calculus..." and it is probably better to do it the other way round. The mathematical prerequisites are not high, however a good intuitive understanding of measure theory is probably necessary. The pace of the book is leasurely, the proofs are such, that pencil and paper is rarely needed, however no rigor is lost.
The book quickly moves to interesting applications of the theory, which is motivated very well.
It contains a few typographical errors, mostly in the last chapter, and mostly of a harmless nature.
With the necessary mathematical background, it seems to be an ideal introduction to this highly interesting topic of stochastic differential equations!
Excellent introduction on Stochastic Differential Equations.......2007-05-08
A well written book in Mathematics
Stochastic Differential Equations is a branch of mathematics. This book is not just for financial derivatives analysis or modeling. Oksendal first introduces the subject by raising a few stochastic problems (population growth; electric charge in RLC circuit; filtering problems, Dirichlet problems; asset management; optimal portfolio and options pricing) in the first chapter. The subsequent chapters develop notions and techniques which are able to solve wide varieties of stochastic problems (not just those mentioned in the first chapters). The arrangement is impressive in particular for readers who have no previous knowledge about the subject. The readers at least know the target for developing the techniques and would not lose the way when manipulating tons of symbols. Hints and answers to selected problems are invaluable to students for self-study.
To achieve a sound background on stochastic equations is extremely important especially in quantitative finance. It is not an easy job however. QF students may consider going through this book before seriously take Shreve's books on Stochastic Calculus for Finance.
OK intro to stochastic analysis.......2007-03-14
This is a standard work (it is the one I read when I first started looking at this sort of thing) but having taken it off the shelf recently again, I think it is overrated, for several reasons.
First, it is very notation heavy - TeX has seduced Mr. Oksendahl into all sorts of bad habits - I can very easily imagine that the earlier editions (mine is the 5th), which were written with a typewriter, are much more readable.
Second, the proofs are very formal, developed mostly in terms of classical functional analysis (square integrable real functions, geometry of real Hilbert spaces etc.). From the point of view of rigor this is fine, but from the point of view of intuition, not so much, esp. when combined with the heavyweight notation. In fact note that unless you have a decent background in functional analysis, of the sort you are more likely to pick up in a mathematics degree than a finance degree, then you are going to get precisely nowhere with this book.
I don't want to be too negative, and there is lots of good stuff here - just to warn that Oksendahl is not (as one might think) a royal road to the theory of SDEs (depressingly, it may be that Oksendahl is, nevertheless, the best of the bunch out there - it is certainly, all criticism not-withstanding, more accessible than Karatzas and Shreve).
Very good book - would not mind more on finance.......2007-02-08
Very good book. However the math prerequisite is at quite a high level. Especially the probability theory introduction could be a little less fast-paced. As my main interest was on the financial application I would not have minded a little more on that topic and a little less on e.g. filtering or stochatsic control in return.
good intro book.......2006-02-03
This is a good intro book. It brings you really fast to Ito's Formula and SDE. Somebody said that the Kolmogorov's backward eq in chapter 8 is wrong. This is false, it is just expressed in a different way than the usual form. However, with a change of time, you are all set.
Average customer rating:
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Introduction to Optimal Control Theory (Undergraduate Texts in Mathematics)
Jack Macki , and
Aaron Strauss
Manufacturer: Springer
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Calculus of Variations: Mechanics, Control, and Other Applications
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Calculus of Variations
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Linear Algebra and Its Applications
ASIN: 038790624X |
Book Description
This is an introduction to optimal control theory for systems governed by vector ordinary differential equations, up to and including a proof of the Pontryagin Maximum Principle. Though the subject is accessible to any student with a sound undergraduate mathematics background. Theory and applications are integrated with examples, particularly one special example (the rocket car) which relates all the abstract ideas to an understandable setting. The authors avoid excessive generalization, focusing rather on motivation and clear, fluid explanation.
Book Description
Logistics is defined as a business planning framework for the management of material, service, information and capital flows. Logistic systems have received considerable attention in the last 10 years, as they constitute one of the cornerstones in the design and control of production systems and the modeling of supply chains. This renewed interest is partly due to the recognition that well-known planning and control systems such as ‘Manufacturing Resources Planning’ and ‘Just in Time’ systems fail to establish a sound integration of lead time management, capacity planning and quality considerations.
This book uniquely:
- Presents a balanced treatment of quantitative methods for logistics systems planning, organization and control.
- Each topic is illustrated with real examples.
- Each chapter features an annotated bibliography of key references.
- Features a number of case studies that show how the methods can be applied to complex logistics problems.
- Assumes only a basic knowledge of operations research.
- Supported by a Website (http://wileylogisticsbook.dii.unile.it) featuring exercises and teaching material.
A unique, leading edge title for researchers, practitioners, and students of logistics and supply chain management, in both academia; engineering, computer science, management science, undergraduate, graduate students and industry professionals.
Download Description
Logistics is defined as a business planning framework for the management of material, service, information and capital flows. Logistic systems have received considerable attention in the last 10 years, as they constitute one of the cornerstones in the design and control of production systems and the modeling of supply chains. This renewed interest is partly due to the recognition that well-known planning and control systems such as ‘Manufacturing Resources Planning’ and ‘Just in Time’ systems fail to establish a sound integration of lead time management, capacity planning and quality considerations.
This book uniquely:
- Presents a balanced treatment of quantitative methods for logistics systems planning, organization and control.
- Each topic is illustrated with real examples.
- Each chapter features an annotated bibliography of key references.
- Features a number of case studies that show how the methods can be applied to complex logistics problems.
- Assumes only a basic knowledge of operations research.
- Supported by a Website featuring exercises and teaching material.
A unique, leading edge title for researchers, practitioners, and students of logistics and supply chain management, in both academia; engineering, computer science, management science, undergraduate, graduate students and industry professionals.
Customer Reviews:
Logistics Handbook.......2007-01-12
If you want to have a quick reference book rich in logistic quantitative methods, then this book a very good choice. It is concise an easy to read.
Average customer rating:
- First Aid to those outside the EE community
- Systems theory done right!
|
Introduction to Mathematical Systems Theory : A Behavioral Approach (Texts in Applied Mathematics, Vol. 26)
Jan Willem Polderman , and
Jan C. Willems
Manufacturer: Springer
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ASIN: 0387982663 |
Book Description
This is a book about modelling, analysis and control of linear time- invariant systems. The book uses what is called the behavioral approach towards mathematical modelling. Thus a system is viewed as a dynamical relation between manifest and latent variables. The emphasis is on dynamical systems that are represented by systems of linear constant coefficients. In the first part of the book the structure of the set of trajectories that such dynamical systems generate is analyzed. Conditions are obtained for two systems of differential equations to be equivalent in the sense that they define the same behavior. It is further shown that the trajectories of such linear differential systems can be partitioned in free inputs and bound outputs. In addition the memory structure of the system is analyzed through state space models. The second part of the book is devoted to a number of important system properties, notably controllability, observability, and stability. An essential feature of using the behavioral approach is that it allows these and similar concepts to be introduced in a representation-free manner. In the third part control problems are considered, more specifically stabilization and pole placement questions. This text is suitable for advanced undergraduate or beginning graduate students in mathematics and engineering. It contains numerous exercises, including simulation problems, and examples, notably of mechanical systems and electrical circuits.
Customer Reviews:
First Aid to those outside the EE community.......2006-12-02
The book starts off with an extremely useful modeling term: "Exclusion Law." This term describes a notion that any closed system of physical laws/equations (Newton's, etc.) state what's included (possible) and what's excluded (impossible) from its (a certain set of physical laws/equations) interpretation of reality.
Most of the concepts in this text will be nothing new to those who already have a bachelor of science in electrical engineering. Still, learning from the author's choice of words and his arrangement of materials will provide one with a very effective way of communicating modeling ideas to those outside the EE community or to those who are somehow academically juvenile (for example, speaking with someone who had to suffer a poor signals and systems instructor or with anyone who had to deal with a similar academic situation).
Here's a quote from page 12:
"Now it becomes necessary to consider two cases:"
From page 1:
"We view a mathematical model as an exlcusion law. A mathematical model expresses the OPINION that some things can happen, are possible, while others cannot, are declared impossible. Thus Kepler claims that planetary orbits that do not satisfy his three famous laws are impossible. In particular, he judges nonelliptical orbits as unphysical. ... Economic production functions tell us that certain amounts of raw materials, capital, and labor are needed in order to manufacture a finished product: it prohibits the creation of finished products unless the required resources are available."
And from page 8:
"Dynamical Systems.... The adjective dynamical refers to phenomena with a delayed reaction, phenomena with an aftereffect, with transients, oscillations, and, perhaps, an approach to equilibrium. ...a mathematical model in which the objects of interest are functions of time..."
Systems theory done right!.......2004-04-06
This is an excellent book on mathematical control theory. As opposed to the classical state-space approach, the behavioural theory gives a more fundamental and natural way of looking at physical systems. The book deals with the notions of controllability, observability, stability and feedback in a beautiful mathematical framework. A more appropriate title would be "Systems theory done right"!
Average customer rating:
- Good introduction, with some errors
- Fast entry to notation
- Breezy Intro to Fuzzy Logic
- Excellent starting point
- Excellent
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An Introduction to Fuzzy Logic for Practical Applications
Kazuo Tanaka
Manufacturer: Springer
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A First Course in Fuzzy Logic, Third Edition
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ASIN: 0387948074 |
Book Description
Fuzzy logic has become an important tool for a number of different applications ranging from the control of engineering systems to artificial intelligence. In this concise introduction, the author presents a succinct guide to the basic ideas of fuzzy logic, fuzzy sets, fuzzy relations, and fuzzy reasoning, and shows how they may be applied. The book culminates in a chapter which describes fuzzy logic control: the design of intelligent control systems using fuzzy if-then rules which make use of human knowledge and experience to behave in a manner similar to a human controller. Throughout, the level of mathematical knowledge required is kept basic and the concepts are illustrated with numerous diagrams to aid in comprehension. As a result, all those curious to know more about fuzzy concepts and their real-world application will find this a good place to start.
Customer Reviews:
Good introduction, with some errors.......2007-08-03
This 136 page book provides a brief introduction to fuzzy logic and applications. However, I have to disagree with the comment that symbols are always defined when used, as many are not.
Also, I think the book may have suffered in translation, as there are quite a few errors, especially in the translation of formulas. For example, on page 27 is an incontrovertable mangling of De Morgan's laws. In other places, symbols are left out, subscripts and superscripts are inexplicably moved around, and shading for graphs and tables is mentioned many places in the text but mysteriously not present in the graphs and tables referred to.
Fortunately, Tanaka goes over the same topic from multiple prespectives, in most cases allowing the reader to figure out what is going on. As an introduction, this book would definitly have benefited from a table of symbols. However, overall, a good introduction to (or review of) the topic.
Fast entry to notation.......2006-08-17
I purchased this book to gain enough information to read a technical paper. Fuzzy logic is new to my industry (petroleum) and my 1970's education did not provide any background. The book took less than an evening to absorb and provided more than enough understanding of the notation and basic operations that I was able to read my paper and start building an interest in deploying Fuzzy logic in my daily work. Other books are needed to fully apply the methodology. However, sufficient demonstration of basic fuzzy arithmetic was provided to know that 2 times 3 divided by 2 is not necessarily 3.
I shared the book with a mathematically oriented associate and she had similar experiances.
Overall, a great introduction with just enough information for a cursory review and enough detail to help determine need or interest for a more detailed presentation.
Breezy Intro to Fuzzy Logic.......2006-07-30
I was impressed by the fact that most symobology used in the book is defined during its first use. There are a few symbols like 'sup' on page 38 that I'm still unclear about.
There are five basic chapters in the book:
1 Introduction
2 Fuzzy Set Theory
3 Fuzzy Relations
4 Fuzzy Reasoning
5 Fuzzy Logic Control
Chapter 1 is a brief two page intro to the concept. The chapter on Fuzzy Set Theory gets into the basics. I've read the descriptions of Fuzzy Logic in MathLab's Fuzzy Logic module and so was prepared for most what is in this chapter. As such, I'm still somewhat unclear as how Cartesion Products and Extension Principles are applicable to the whole concept of Fuzzy Logic.
In the chapter on Fuzzy Relations, further use of extensions is used along with the properties of composition. Simple matrix math is used in some cases to arrive at results in some of the examples.
The fourth chapter, which is about Fuzzy Reasoning, includes reasoning based upon Mamdani's Direct Method, Takagi & Sugeno's Fuzzy Modelling, and the Simplified Method. It is in this chapter where the earlier mechanisms of composition are utilizied. Defuzzification, which is final step of any fuzzy logic process, is lightly described with a brief reference to the standard centroid calculation.
The final chapter is light on formulas, and offers up a high level description of the superiority of fuzzy logic over PID controllers, and how the former can help the latter obtain better control in some situations.
After having taken a first read of this book, I'll have to go through it again to see if I can better relate Fuzzy Relations to the remainder of the book. In addition, now that I've got a better grasp on fuzzy symbology, I believe I'm ready to move on to the more heavy duty books of the subject area.
Excellent starting point.......2006-07-10
This book gives you an excellent introduction to Fuzzy Logic Concepts, Reasoning and Applications.
I am a Practitioner of Industrial Process Control, and was looking for a book to learn about Fuzzy Logic. The book did it in a simple way, with many examples and explanation for every topic to make even easier my introduction to this area.
Excellent.......2006-02-01
You'll find one of the simpler introductions to fuzzy logic here. Unlike many more technical fuzzy logic books, much of the symbolism used gets explained. The diagrams of projection and cylindrical extension also help understand these notions in an intuitive manner. The book does have a slight error in that it claims a proof of a general theorem through the use of a single numerical example. But, the plethora of simple examples in this books make it a pleasure and an ease to read. You'll also find encoruagement if you have doubts about pursuing this field, as Niimura indicates that Zadeh had his original paper on fuzzy sets finished for two years prior to its publication, and it only got published, because he edited the journal.
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An Introduction to Linear Control Systems (Control and Systems Theory ; V. 5)
Thomas E. Fortmann , and
Konrad L. Hitz
Manufacturer: Marcel Dekker
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Control System Design: An Introduction to State-Space Methods (Dover Books on Engineering)
ASIN: 0824765125 |
Customer Reviews:
Fantastic.......2005-09-02
This book has everything. Theory, algorithms for numerical methods, etc. etc. etc. If you're taking a linear systems course and want a text that is actually worth while, get a copy of this. It looks like it was printed on a type writer, but it is jam packed with information!
Average customer rating:
|
Introduction to Control of Oscillations and Chaos (World Scientific Series on Nonlinear Science. Series a, Monographs and Treatises, V. 35)
A. L. Fradkov , and
Alexander L. Fradkov
Manufacturer: World Scientific Publishing Company
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ASIN: 9810230699 |
Book Description
This book gives an exposition of the exciting field of control of oscillatory and chaotic systems, which has numerous potential applications in mechanics, laser and chemical technologies, communications, biology and medicine, economics, ecology, etc.
A novelty of the book is its systematic application of modern nonlinear and adaptive control theory to the new class of problems. The proposed control design methods are based on the concepts of Lyapunov functions, Poincare maps, speed-gradient and gradient algorithms. The conditions which ensure such control goals as an excitation or suppression of oscillations, synchronization and transformation from chaotic mode to the periodic one or vice versa, are established. The performance and robustness of control systems under disturbances and uncertainties are evaluated.
The described methods and algorithms are illustrated by a number of examples, including classical models of oscillatory and chaotic systems: coupled pendula, brusselator, Lorenz, Van der Pol, Duffing, Henon and Chua systems. Practical examples from different fields of science and technology such as communications, growth of thin films, synchronization of chaotic generators based on tunnel diods, stabilization of swings in power systems, increasing predictability of business-cycles are also presented.
The book includes many results on nonlinear and adaptive control published previously in Russian and therefore were not known to the West.
Researchers, teachers and graduate students in the fields of electrical and mechanical engineering, physics, chemistry, biology, economics will find this book most useful. Applied mathematicians and control engineers from various fields of technology dealing with complex oscillatory systems will also benefit from it.
Book Description
This text presents an introduction to Linear-Quadratic (LQ) Control theory. LQ theory represents one of the main approaches to the design of Linear Multivariable Control Systems, and is taught in most graduate programs in Systems and Control. The theory is augmented with practical design problems using MATLAB software for numerical solutions, thus the text should also be of interest to practicing engineers. There are homework problems at the end of each chapter in addition to Notes and Reference sections which contain valuable information on related theory and references.
Customer Reviews:
Excellent introductory book.......2004-07-01
I bought and read this book when I first became a grad student under Dorato and Abdallah. Since I've now graduated and am employed elsewhere (and thus can't be accused of sucking up), this is an excellent book that should be recommended reading, if not the primary textbook, for all graduate level LQG courses.
good enough if you have the basics.......2001-01-22
a will "briefly" written book which assumes that the reader has the basics of feedback control and matrix algebra. Each chapter has a MATLAB section at the end which shows some important commands (not codes) that are relevant to the chapter's material. Excellent chapter on robstness design.
Book Description
Mathematical control theory is a separate branch of mathematics that, over a span of 150 years, has developed an extensive literature covering its various concepts, constructions and applications. Even for deterministic systems, the theory and applications now involve several areas of which only a few are typically presented from a unified viewpoint. In particular, until now, a self-contained treatment of the following areas has been unavailable: the basic theory of finite dimensional linear systems, of nonlinear systems, optimal control and infinite dimensional linear systems. Mathematical Control Theory: An Introduction presents, in a mathematically precise matter, a unified introduction to deterministic control theory. Moreover, with the exception of a few more advanced concepts required for the final part of the book, this presentation requires only a knowledge of basic facts from linear algebra, differential equations and calculus.
In addition to classical concepts and ideas, the book offers many recently published results. In particular, the author includes the stabilization of nonlinear systems using topological methods, realization theory for nonlinear systems, impulsive control and positive systems, the control of rigid bodies, the stabilization of infinite dimensional systems and the solution of minimum energy problems. Some of these topics appear here for the first time in book form.
The book will be ideal for a beginning graduate course in mathematical control theory or for self study by professionals needing a complete picture of the mathematical theory that underlies the application of control theory.
This text has been adopted at: Brown University, Providence, RI University of California, Los Angeles University of Kansas, Lawrence
Customer Reviews:
CNR.......2000-09-12
Control system measuring Nuclear reactors Identification of complex dynamic system simulation
Books:
- Optimal Control Theory: An Introduction
- Optimization by Vector Space Methods (Series in Decision and Control)
- Partial Differential Equations (Graduate Studies in Mathematics, V. 19) GSM/19 (Graduate Studies in Mathematics)
- Petri Nets for Systems Engineering
- Programming Ruby: The Pragmatic Programmers' Guide, Second Edition
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- Representation Theory of Semisimple Groups: An Overview Based on Examples. (PMS-36).
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