力学系の安定性 Stability of Dynamical Systems: Volume 5 (Monograph Nonlinear Science and Complexity") 〈5〉

Liao, Xiaoxin/ Wang, L. Q./ Yu, P.

Elsevier Science（2007/09発売）

• 製本 Hardcover:ハードカバー版／ページ数 718 p.
• 言語 ENG
• 商品コード 9780444531100
• DDC分類 515.392

基本説明

The main purpose of developing stability theory is to examine dynamic responses of a system to disturbances as the time approaches infinity.

Full 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.

Contents

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