Stability of Dynamical Systems: Volume 5

ISBN-13: 9780444531100 / Angielski / Twarda / 2007 / 706 str.

Xiaoxin Liao; Liqiu Wang; Pei Yu

Opis

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

Recenzje

"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

Spis treści

1. Fundamental Concepts and Mathematical Tools2. Linear Systems with Constant Coefficients3. Time-Varying Linear Systems4. Lyapunov Direct Method5. Development of Lyapunov Direct Method6. Nonlinear Systems with Separate Variables7. Iteration Method for Stability8. Dynamical Systems with Time Delay9. Absolute Stability of Nonlinear Control Systems10. Stability of Neural Networks11. Limit Cycle, Normal Form and Hopf Bifurcation Control