Stability and stabilization of nonlinear systems

Recently, the subject of nonlinear control systems analysis has grown rapidlyand this book provides a simple and self-contained presentation of their stability and feedback stabilization which enables the reader to learn and understand major techniques used in mathematical control theory. In particular: the important techniques of proving global stability properties are presented closely linked with corresponding methods of nonlinear feedback stabilization; a general framework of methods for proving stability is given, thus allowing the study of a wide class of nonlinear systems, including finite-dimensional systems described by ordinary differential equations, discrete-time systems, systemswith delays and sampled-data systems; approaches to the proof of classical global stability properties are extended to non-classical global stability properties such as non-uniform-in-time stability and input-to-output stability; andnew tools for stability analysis and control design of a wide class of nonlinear systems are introduced. The presentational emphasis of Stability and Stabilization of Nonlinear Systems is theoretical but the theory’s importance for concrete control problems is highlighted with a chapter specifically dedicated to applications and with numerous illustrative examples. Researchers working on nonlinear control theory will find this monograph of interest while graduatestudents of systems and control can also gain much insight and assistance from the methods and proofs detailed in this book. Provides readers with a general framework for the previously disparate mathematical methods associated with a vital aspect of control theory Gives concrete examples of stability theory for real nonlinear systems including biological and economic systemsWritten by experts INDICE: Introduction to Control Systems. Internal Stability Notions and Characterizations. Converse Lyapunov Results. External Stability Notions and Characterization. Advanced Methods. The Robust Output Feedback Stabilization Problem. Applications.

• ISBN: 978-0-85729-512-5
• Editorial: Springer London
• Encuadernacion: Cartoné
• Páginas: 399
• Fecha Publicación: 01/06/2011
• Nº Volúmenes: 1
• Idioma: Inglés