Stability of Dynamical Systems

by Liao; Wang; Yu

• ISBN13: 9780444531100
• ISBN10: 0444531106
• Format: Hardcover
• Copyright: 2007-09-11
• Publisher: Elsevier Science

Summary

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. · 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

Table of Contents

Preface

Fundamental Concepts and Mathematical Tools

Linear Systems with Constant Coefficients

Time-Varying Linear Systems

Lyapunov Direct Method

Development of Lyapunov Direct Method

Nonlinear Systems with Separate Variables

Iteration Method for Stability

Dynamical Systems with Time Delay

Absolute Stability of Nonlinear Control Systems

Stability of Neural Networks

Limit Cycle, Normal Form and Hopf Bifurcation Control

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