There has been much excitement over the emergence of new mathematical techniques for the analysis and control of nonlinear systems. In addition, great technological advances have bolstered the impact of analytic advances and produced many new problems and applications which are nonlinear in an essential way. This book lays out in a concise mathematical framework the tools and methods of analysis which underlie this diversity of applications.
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Editorial Reviews
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From the reviews: A.J. van der Schaft in: Nieuw Archief voor Wiskunde, 2000 "(...) the book is very much recommended to every mathematician/engineer/physicist interested in nonlinear systems, especially because the book crosses one of the existing academic borderlines and illustrates the richness of problems and applications for nonlinear analysis and design in various areas of engineering." INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL "…stands alone in providing an integrated view of both the areas of non-linear analysis and control, and of non-linear dynamic systems theory. It also complements previous works in that it includes a range of new topics…Through the broad range of topics treated, the careful attention to detail in treating both topics familiar to the non-linear community and new research problems, and the historical anecdotes accompanying the development of different areas, the book does a superb job of conveying the 20 years of research experience of the author, and the excitement and enthusiasm that he has for the field…Sastry’s book should be considered both as a research reference as well as a classroom textbook…Interesting worked examples are presented throughout, and a detailed set of exercises is included at the end of each chapter…Sastry’s book is a comprehensive text on non-linear analysis and control. He has succeeded in bringing to life a wide range of mathematical techniques through a great many examples and applications to real non-linear systems, and his exposition relays his knowledge and enthusiasm about the field."
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Most Helpful Customer Reviews
18 of 20 people found the following review helpful:
5.0 out of 5 stars
An excellent nonlinear systems book,
By Yigit Karpat (Ankara Turkey) - See all my reviews
This review is from: Nonlinear Systems (Hardcover)
As a Ph.D student I found this book very helpful and I would like to recommend this book everyone involved in nonlinear systems. I also have Vidyasagar's (i wish there were more example problems) and Khalil's nonlinear systems(mainly devoted to Lyapunov analysis) books which are also good but I found this book much explanatory than others.
1 of 1 people found the following review helpful:
2.0 out of 5 stars
Not good book!,
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This review is from: Nonlinear Systems: Analysis, Stability and Control (Interdisciplinary Applied Mathematics) (Paperback)
The book is not good in my opinion. The font size of writing is small and quality of pictures is not good. Sometimes, it is not easy to understand about what the author is talking. Some english sentences of the author are not gramatically correct and hence it makes difficult to understand the material. The steps in profs of theorems and lemmas are skipped. In summary, I do not suggest anybody to buy this book. Try other books on this subject.
1 of 1 people found the following review helpful:
4.0 out of 5 stars
Good book.,
By
This review is from: Nonlinear Systems (Hardcover)
This is a good book devoted to nonlinear systems.
Compared to Vidyasagar's book, this book has more mathematical rigour, therefore, to follow it you should have a good Calculus/Linear Algebra / Analysis background (I recommend to have good books of these subjects while reading Sastry). Some topics are more intuitively than explicitly covered. The same thing occurs in the exercises at the end of the chapters. Because of this I think that you should not follow only this book in a first course on nonlinear systems. I recomend Khalil's and Isidori's book as parallel readings.
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Inside This Book
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First Sentence:
Why do we need to have a nonlinear theory and why bother to study a qualitative nonlinear theory? Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
output zeroing manifold, unaveraged system, zero dynamics algorithm, derived flag, normalized gradient update law, perturbed zero dynamics, linear error equation, full state linearization, finite gain stable, exterior equations, strict relative degree, vector relative degree, tracking control law, linearizing control law, undriven system, phase nonlinear systems, planar dynamical systems, exponential stability theorem, uniform complete observability, algebraic ideal, exponentially stable equilibrium point, exterior differential systems, boundary layer system, passivity theorem, isolated equilibria Key Phrases - Capitalized Phrases (CAPs): (learn more)
Philip Hall, Exercises Problem, Hartman Grobman, Prove Theorem, Applying Theorem, Diffeomorphic Not Diffeomorphic, New Vistas New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Why do we need to have a nonlinear theory and why bother to study a qualitative nonlinear theory? Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
output zeroing manifold, unaveraged system, zero dynamics algorithm, derived flag, normalized gradient update law, perturbed zero dynamics, linear error equation, full state linearization, finite gain stable, exterior equations, strict relative degree, vector relative degree, tracking control law, linearizing control law, undriven system, phase nonlinear systems, planar dynamical systems, exponential stability theorem, uniform complete observability, algebraic ideal, exponentially stable equilibrium point, exterior differential systems, boundary layer system, passivity theorem, isolated equilibria Key Phrases - Capitalized Phrases (CAPs): (learn more)
Philip Hall, Exercises Problem, Hartman Grobman, Prove Theorem, Applying Theorem, Diffeomorphic Not Diffeomorphic, New Vistas New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 93
books:
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78
books
cite this book:
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- Control Problems in Robotics and Automation (Lecture Notes in Control and Information Sciences) by Bruno Siciliano on 4 pages
- Pure Mathematics: Detailed Solutions to Advanced Level Questions by D. Murray in Front Matter, Back Matter (1), and Back Matter (2)
- Nonholonomic Motion Planning (The Springer International Series in Engineering and Computer Science) by Zexiang Li in Back Matter (1), Back Matter (2), and Back Matter (3)
- Differential Equations (with CD-ROM) by Paul Blanchard in Back Matter (1), Back Matter (2), and Back Matter (3)
- Nonlinear Systems: Stability Analysis by J.K. Aggarwal on page 127, and Back Matter
See all 93 books this book cites
- Proceedings of the International Symposium MTNS-89: Volume 2: Robust Control of Linear Systems and Nonlinear Control (Progress in Systems and Control Theory) by Springer on 4 pages
- Software-Enabled Control: Information Technology for Dynamical Systems by Tariq Samad on page 322, page 325, and page 345
- Adaptive Control Systems by Gang Feng Ph.D. M.Eng. B.Eng. on page 307, and page 327
- Applied and Computational Control, Signals, and Circuits (The Springer International Series in Engineering and Computer Science) by Biswa Nath Datta on page 26, and page 27
- Nonlinear Control Systems 2001 (3-volume set) (IFAC Proceedings Volumes) by A.B. Kurzhanski in Front Matter, and page 420
See all 78 books citing this book
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