Stability of Dynamical Systems - 1st Edition - ISBN: 9780444531100, 9780080550619

Stability of Dynamical Systems, Volume 5

1st Edition

Authors: Xiaoxin Liao L.Q. Wang P. Yu
eBook ISBN: 9780080550619
Hardcover ISBN: 9780444531100
Imprint: Elsevier Science
Published Date: 1st August 2007
Page Count: 718
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Table of Contents

  1. Fundamental Concepts and Mathematical Tools
    2. Linear Systems with Constant Coefficients
    3. Time-Varying Linear Systems
    4. Lyapunov Direct Method
    5. Development of Lyapunov Direct Method
    6. Nonlinear Systems with Separate Variables
    7. Iteration Method for Stability
    8. Dynamical Systems with Time Delay
    9. Absolute Stability of Nonlinear Control Systems
    10. Stability of Neural Networks
    11. Limit Cycle, Normal Form and Hopf Bifurcation Control

Description

The main purpose of developing stability theory is to examine dynamic responses of a system to disturbances as the time approaches infinity. It has been and still is the object of intense investigations due to its intrinsic interest and its relevance to all practical systems in engineering, finance, natural science and social science. This monograph provides some state-of-the-art expositions of major advances in fundamental stability theories and methods for dynamic systems of ODE and DDE types and in limit cycle, normal form and Hopf bifurcation control of nonlinear dynamic systems.

Key Features

  • Presents comprehensive theory and methodology of stability analysis
  • Can be used as textbook for graduate students in applied mathematics, mechanics, control theory, theoretical physics, mathematical biology, information theory, scientific computation
  • Serves as a comprehensive handbook of stability theory for practicing aerospace, control, mechanical, structural, naval and civil engineers

Readership

Graduate students in applied mathematics, mechanics, control theory, theoretical physics, mathematical biology, information theory, and scientific computation; Comprehensive handbook of stability theory for practicing aerospace, control, mechanical, structural, naval and civil engineers


Details

No. of pages:
718
Language:
English
Copyright:
© Elsevier Science 2007
Published:
Imprint:
Elsevier Science
eBook ISBN:
9780080550619
Hardcover ISBN:
9780444531100

Reviews

"The book is a collection of a host of results with a variety of real world applications and practical examples. It is a joy to read. The wide variety of results presented in this exposition will make it a useful text from graduate students of humanities, sciences and engineering… This book can serve a very useful purpose and will be a valuable addition to the literature." --Mathematical Reviews, April 2011


About the Authors

Xiaoxin Liao Author

Affiliations and Expertise

Huazhong University of Science and Technology, Wuhan, China

L.Q. Wang Author

Affiliations and Expertise

The University of Hong Kong, Hong Kong

P. Yu Author

Affiliations and Expertise

The University of Western Ontario, London, Ontario, Canada