Stability of Dynamical Systems : Continuous, Discontinuous, and Discrete Systems (Systems and Control : Foundations and Applications)

Michel, Anthony N./ Hou, Ling/ Liu, Derong

Birkhäuser（2007/11発売）

• 製本 Hardcover:ハードカバー版／ページ数 464 p.／サイズ 30 illus.
• 言語 ENG
• 商品コード 9780817644864
• DDC分類 511

Full Description

Filling a gap in the literature, this volume offers the first comprehensive analysis of all the major types of system models. Throughout the text, there are many examples and applications to important classes of systems in areas such as power and energy, feedback control, artificial neural networks, digital signal processing and control, manufacturing, computer networks, and socio-economics. Replete with exercises and requiring basic knowledge of linear algebra, analysis, and differential equations, the work may be used as a textbook for graduate courses in stability theory of dynamical systems. The book may also serve as a self-study reference for graduate students, researchers, and practitioners in a huge variety of fields.

Contents

Dynamical Systems.- Fundamental TheoryBoundedness Results on Metric Spaces.- Fundamental Theory:Specialized Stability and Boundedness Results on Metric Spaces.- Applications to a Class of Discrete-Event Systems.- Finite-Dimensional Dynamical Systems.- Finite-Dimensional Dynamical Systems: Specialized Results.- Applications to Finite-Dimensional Dynamical Systems.- Infinite-Dimensional Dynamical Systems.