Stability of Dynamical Systems

Stability of Dynamical Systems

1st Edition - August 1, 2007

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  • Authors: Xiaoxin Liao, L.Q. Wang, P. Yu
  • eBook ISBN: 9780080550619

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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

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

Product details

  • No. of pages: 718
  • Language: English
  • Copyright: © Elsevier Science 2007
  • Published: August 1, 2007
  • Imprint: Elsevier Science
  • eBook ISBN: 9780080550619

About the Authors

Xiaoxin Liao

Affiliations and Expertise

Huazhong University of Science and Technology, Wuhan, China

L.Q. Wang

Affiliations and Expertise

The University of Hong Kong, Hong Kong

P. Yu

Affiliations and Expertise

The University of Western Ontario, London, Ontario, Canada

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