Nonlinear systems
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Nonlinear systems stability analysis by

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Published by Dowden, Hutchinson & Ross, exclusive distributor Halsted Press in Stroudsburg, Pa, [New York] .
Written in English

Subjects:

  • System analysis.,
  • Nonlinear theories.,
  • Differential equations.,
  • Integral equations.,
  • Stability.

Book details:

Edition Notes

Includes bibliographical references and indexes.

Statementedited by J. K. Aggarwal and M. Vidyasagar.
SeriesBenchmark papers in electrical engineering and computer science ;, 16
ContributionsAggarwal, J. K. 1936-, Vidyasagar, M. 1947-
Classifications
LC ClassificationsQA402 .N66
The Physical Object
Paginationxiii, 380 p. :
Number of Pages380
ID Numbers
Open LibraryOL4885340M
ISBN 100879330864
LC Control Number76015382

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Nonlinear Systems Overview: In this section we start the book by giving an overview to the model of a system that will form the foundations for future discussion, we talk about linear systems theory based upon what is called the superposition principles of additivity and homogeneity. The book shows strong connections of the subject matter with optimization, dynamical systems as well as the classical themes (Lyapunov theory). Cite 2 Recommendations. This book is written is such a way that the level of mathematical sophistication builds up from chapter to chapter. It has been reorganized into four parts: basic analysis, analysis of feedback systems, advanced analysis, and nonlinear feedback control. Updated content includes subjects which have proven useful in nonlinear control design in recent years—new in the 3rd edition are: expanded 4/5(1). Nonlinear systems with convergent Volterra series representations will be considered. New definitions of stability and stabilizability, and the H ∞ norm for nonlinear systems will be given via the Laplace transform of the corresponding Volterra kernel. Second-order and bilinear systems are used as examples to deal with the stability in detail.

This book is written is such a way that the level of mathematical sophistication builds up from chapter to chapter. It has been reorganized into four parts: basic analysis, analysis of feedback systems, advanced analysis, and nonlinear feedback control. Updated content includes subjects which have proven useful in nonlinear control design in recent years-- new in the 3rd edition are: expanded 4/5(1). When M. Vidyasagar wrote the first edition of Nonlinear Systems Analysis, most control theorists considered the subject of nonlinear systems a then, advances in the application of differential geometric methods to nonlinear analysis have matured to a stage where every control theorist needs to possess knowledge of the basic techniques because virtually all physical systems are. The text evolves from courses given by the author in the UK and the United States. It introduces the mathematical properties of nonlinear systems, mostly difference and differential equations, as an integrated theory, rather than presenting isolated fashionable : P. G. Drazin. Nonlinear systems, bifurcations and symmetry breaking. A nonlinear system is a set of nonlinear equations, which may be algebraic, functional, ordinary differential, partial differential, integral or a combination of these. The system may depend on given parameters.

This book is written is such a way that the level of mathematical sophistication builds up from chapter to chapter. It has been reorganized into four parts: basic analysis, analysis of feedback systems, advanced analysis, and nonlinear feedback control. The book should also appeal to applied mathematicians and computer scientists interested in nonlinear systems. It can be used as a textbook, but should also be valuable as a reference. The well-written introduction and chapter 2 present the basic material on nonlinear systems of ordinary differential equations that should be familiar to read ers. There has been a great deal of excitement in the last ten years over the emer­ gence of new mathematical techniques for the analysis and control of nonlinear systems: Witness the emergence of a set of simplified tools for the analysis of bifurcations, chaos, and other complicated dynamical behavior and the develop­ ment of a comprehensive theory of geometric nonlinear : Springer-Verlag New York. this book. I believe that from these themes will be forged many useful engineering tools for dealing with nonlinear systems in the future. But a note of caution is appropriate. Nonlinear systems do not yield easily to analysis, especially in the sense that for a given analytical method it .