Nonlinear systems analysis
Author(s)
Bibliographic Information
Nonlinear systems analysis
Prentice Hall, c1993
2nd ed
- : pbk
Available at 39 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Includes bibliographical references (p. 486-492) and index
Description and Table of Contents
- Volume
-
ISBN 9780136234630
Description
The second edition provides thorough, up-to-date coverage of the analytical foundations of various aspects of nonlinear systems. This includes details on existence and uniqueness of solutions and approximate analysis methods. Reflecting the increasing importance of digital computers, the author has included a discussion of discrete-time systems in the chapters dealing with Lyapunov stability and input-output stability. Several applications of nonlinear system theory are included throughout the book, including stability and convergence of adaptive identifiers, stability of a class of electro-mechanical systems, a separation theorem for deterministic nonlinear systems, and more.
Table of Contents
1. Introduction. 2. Nonlinear Differential Equations. 3. Second-Order Systems. 4. Approximate Analysis Methods. 5. Lyapunov Stability. 6. Input-Output Stability. 7. Differential Geometric Methods. Appendix A: Prevalence of Differential Equations with Unique Solutions. Appendix B: Proof of the Kalman-Yacubovitch Lemma. Appendix C: Proof of the Frobenius Theorem.
- Volume
-
: pbk ISBN 9780136235132
Description
This work provides coverage of the analytical foundations of various aspects of nonlinear systems, including solutions, approximate analysis methods and stability theory from both the Lyapunov and the input-output viewpoints. The book presents the mathematical approach to the study of nonlinear systems; includes coverage of differential geometric methods for nonlinear systems (including recent research findings); covers nonlinear reachability and feedback linearization and both discrete-time and continuous-time systems; and incorporates real examples with applications in robotics, adaptive control and other fields to illustrate the theorums.
Table of Contents
Introduction. Non-linear Differential Equations. Second-Order Systems. Approximate Analysis Methods. Lyapunov Stability. Input-Output Stability. Differential Geometric Methods. Appendices: Prevalence of Differential Equations with Unique Solutions, Proof of the Kalman-Yacubovitch Lemma and Proof of the Frobenius Theorem.
by "Nielsen BookData"