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Stability and Stabilization of Nonlinear Systems

Stability and Stabilization of Nonlinear Systems
Kataloginformation
Feldname Details
Vorliegende Sprache eng
Hinweise auf parallele Ausgaben 391985027 Buchausg. u.d.T.: ‡Karafyllis, Iasson, 1971 - : Stability and stabilization of nonlinear systems
ISBN 978-0-85729-512-5
Name Karafyllis, Iasson
Jiang, Zhong-Ping
ANZEIGE DER KETTE Jiang, Zhong-Ping
T I T E L Stability and Stabilization of Nonlinear Systems
Verlagsort London
Verlag Springer-Verlag London Limited
Erscheinungsjahr 2011
2011
Umfang Online-Ressource (XIX, 386p. 7 illus., 5 illus. in color, digital)
Reihe Communications and Control Engineering
Notiz / Fußnoten Includes bibliographical references and index
Weiterer Inhalt Stability and Stabilization of Nonlinear Systems; Foreword; Preface; Contents; Notations; Chapter 1: Introduction to Control Systems; 1.1 Introduction; 1.2 Examples of Control Systems; 1.2.1 Control Systems Described by Ordinary Differential Equations (ODEs); 1.2.2 Control Systems Described by Retarded Functional Differential Equations (RFDEs); 1.2.3 Control Systems Described by Coupled Retarded Functional Differential Equations (RFDEs) and Functional Difference Equations (FDEs); 1.2.4 Control Systems Described by Functional Difference Equations (FDEs). 1.2.5 Control Systems with Variable Sampling Partition1.3 Deterministic Control Systems; 1.4 Equilibrium Points; 1.5 Feedback Interconnection of Systems; 1.6 Transformation of Systems; 1.7 Discrete-Time Systems; 1.8 Bibliographical and Historical Notes; References; Chapter 2: Internal Stability: Notions and Characterizations; 2.1 Introduction; 2.2 Definitions of Robust Global Asymptotic Output Stability (RGAOS); 2.3 KL Characterizations; 2.4 Transformations Preserving RGAOS; 2.5 Differential Inequalities and Comparison Lemmas; 2.6 Lyapunov Functionals. 2.6.1 Control Systems Described by Ordinary Differential Equations2.6.2 Control Systems Described by Retarded Functional Differential Equations, RFDEs; 2.7 Examples of the Method of Lyapunov Functionals; 2.8 RGAOS for Discrete-Time Systems; 2.9 Bibliographical and Historical Notes; References; Chapter 3: Converse Lyapunov Results; 3.1 Introduction; 3.2 Sontag's Result on KL functions; 3.3 Construction of the Lyapunov Functional; 3.4 Regularity Properties of the Lyapunov Functional; 3.4.1 Control Systems Described by ODEs; 3.4.2 Control Systems Described by RFDEs; 3.4.3 Discrete-Time Systems. 3.5 Bibliographical and Historical NotesReferences; Chapter 4: External Stability: Notions and Characterizations; 4.1 Introduction; 4.2 Definitions; 4.3 Consequences of the WIOS Property; 4.4 External Stability Properties for Discrete-Time Systems; 4.5 Transformations Preserving WIOS; 4.6 Qualitative Characterizations of WIOS; 4.7 Lyapunov-Like Necessary and Sufficient Conditions for WIOS; 4.7.1 Control Systems Described by ODEs; 4.7.2 Control Systems Described by RFDEs; 4.8 Bibliographical and Historical Notes; References; Chapter 5: Advanced Stability Methods and Applications. 5.1 Introduction5.2 The Small-Gain Theorem; 5.2.1 Results on Monotone Operators; 5.2.2 Trajectory-Based Small-Gain Theorems; 5.3 Vector Lyapunov Functionals; 5.3.1 Vector Lyapunov Functions for Systems Described by ODEs; 5.3.2 Vector Lyapunov Functionals for Systems Described by RFDEs; 5.3.3 Vector Lyapunov Functions for Sampled-Data Systems; 5.4 Examples and Applications; 5.5 Application to Stability Analysis in Uncertain Dynamic Games; 5.6 Historical and Bibliographical Notes; References; Chapter 6: Robust Output Feedback Stabilization; 6.1 Introduction. 6.2 Description of the Robust Output Feedback Stabilization Problems
Titelhinweis Buchausg. u.d.T.: ‡Karafyllis, Iasson, 1971 - : Stability and stabilization of nonlinear systems
ISBN ISBN 978-0-85729-513-2
Klassifikation 30.10
TJFM
TEC004000
*93-02
93D25
93C10
93C23
93C57
93D05
93D15
629.8312
629.836
TJ212-225
ZQ 5224
SK 870
Kurzbeschreibung Recently, the subject of nonlinear control systems analysis has grown rapidly and 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, systems with 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, and new 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 graduate students of systems and control can also gain much insight and assistance from the methods and proofs detailed in this book.
1. Schlagwortkette Nichtlineare Optimierung
ANZEIGE DER KETTE Nichtlineare Optimierung
SWB-Titel-Idn 343195496
Signatur Springer E-Book
Bemerkungen Elektronischer Volltext - Campuslizenz
Elektronische Adresse $uhttp://dx.doi.org/10.1007/978-0-85729-513-2
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