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Cover: 9780691133294 | Nonlinear Dynamical Systems and Control | A Lyapunov-Based Approach
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Nonlinear Dynamical Systems and Control
A Lyapunov-Based Approach
Buch von Wassim M. Haddad (u. a.)
Sprache: Englisch

139,95 €*

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Beschreibung
Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. Dynamical system theory lies at the heart of mathematical sciences and engineering. The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to biochemistry to chemical kinetics, from medicine to biology to population genetics, from economics to sociology to psychology, and from physics to mechanics to engineering. The increasingly complex nature of engineering systems requiring feedback control to obtain a desired system behavior also gives rise to dynamical systems.

Wassim Haddad and VijaySekhar Chellaboina provide an exhaustive treatment of nonlinear systems theory and control using the highest standards of exposition and rigor. This graduate-level textbook goes well beyond standard treatments by developing Lyapunov stability theory, partial stability, boundedness, input-to-state stability, input-output stability, finite-time stability, semistability, stability of sets and periodic orbits, and stability theorems via vector Lyapunov functions. A complete and thorough treatment of dissipativity theory, absolute stability theory, stability of feedback systems, optimal control, disturbance rejection control, and robust control for nonlinear dynamical systems is also given. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers.
Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. Dynamical system theory lies at the heart of mathematical sciences and engineering. The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to biochemistry to chemical kinetics, from medicine to biology to population genetics, from economics to sociology to psychology, and from physics to mechanics to engineering. The increasingly complex nature of engineering systems requiring feedback control to obtain a desired system behavior also gives rise to dynamical systems.

Wassim Haddad and VijaySekhar Chellaboina provide an exhaustive treatment of nonlinear systems theory and control using the highest standards of exposition and rigor. This graduate-level textbook goes well beyond standard treatments by developing Lyapunov stability theory, partial stability, boundedness, input-to-state stability, input-output stability, finite-time stability, semistability, stability of sets and periodic orbits, and stability theorems via vector Lyapunov functions. A complete and thorough treatment of dissipativity theory, absolute stability theory, stability of feedback systems, optimal control, disturbance rejection control, and robust control for nonlinear dynamical systems is also given. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers.
Über den Autor
Wassim M. Haddad is professor of aerospace engineering at the Georgia Institute of Technology. VijaySekhar Chellaboina is associate professor of mechanical, aerospace, and biomedical engineering at the University of Tennessee. They are the coauthors of Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control and Thermodynamics: A Dynamical Systems Approach (both Princeton).
Inhaltsverzeichnis
Conventions and Notation xv
Preface xxi
Chapter 1. Introduction 1
Chapter 2. Dynamical Systems and Differential Equations 9
Chapter 3. Stability Theory for Nonlinear Dynamical Systems 135
Chapter 4. Advanced Stability Theory 207
Chapter 5. Dissipativity Theory for Nonlinear Dynamical Systems 325
Chapter 6. Stability and Optimality of Feedback Dynamical Systems 411
Chapter 7. Input-Output Stability and Dissipativity 471
Chapter 8. Optimal Nonlinear Feedback Control 511
Chapter 9. Inverse Optimal Control and Integrator Backstepping 557
Chapter 10. Disturbance Rejection Control for Nonlinear Dynamical Systems 603
Chapter 11. Robust Control for Nonlinear Uncertain Systems 649
Chapter 12. Structured Parametric Uncertainty and Parameter-Dependent Lyapunov Functions 719
Chapter 13. Stability and Dissipativity Theory for Discrete-Time Nonlinear Dynamical Systems 763
Chapter 14. Discrete-Time Optimal Nonlinear Feedback Control 845
Bibliography 901
Index 939
Details
Erscheinungsjahr: 2008
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 976
ISBN-13: 9780691133294
ISBN-10: 0691133298
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Haddad, Wassim M.
Chellaboina, Vijaysekhar
Hersteller: Princeton University Press
Maße: 260 x 183 x 56 mm
Von/Mit: Wassim M. Haddad (u. a.)
Erscheinungsdatum: 17.02.2008
Gewicht: 1,993 kg
preigu-id: 107813916
Über den Autor
Wassim M. Haddad is professor of aerospace engineering at the Georgia Institute of Technology. VijaySekhar Chellaboina is associate professor of mechanical, aerospace, and biomedical engineering at the University of Tennessee. They are the coauthors of Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control and Thermodynamics: A Dynamical Systems Approach (both Princeton).
Inhaltsverzeichnis
Conventions and Notation xv
Preface xxi
Chapter 1. Introduction 1
Chapter 2. Dynamical Systems and Differential Equations 9
Chapter 3. Stability Theory for Nonlinear Dynamical Systems 135
Chapter 4. Advanced Stability Theory 207
Chapter 5. Dissipativity Theory for Nonlinear Dynamical Systems 325
Chapter 6. Stability and Optimality of Feedback Dynamical Systems 411
Chapter 7. Input-Output Stability and Dissipativity 471
Chapter 8. Optimal Nonlinear Feedback Control 511
Chapter 9. Inverse Optimal Control and Integrator Backstepping 557
Chapter 10. Disturbance Rejection Control for Nonlinear Dynamical Systems 603
Chapter 11. Robust Control for Nonlinear Uncertain Systems 649
Chapter 12. Structured Parametric Uncertainty and Parameter-Dependent Lyapunov Functions 719
Chapter 13. Stability and Dissipativity Theory for Discrete-Time Nonlinear Dynamical Systems 763
Chapter 14. Discrete-Time Optimal Nonlinear Feedback Control 845
Bibliography 901
Index 939
Details
Erscheinungsjahr: 2008
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 976
ISBN-13: 9780691133294
ISBN-10: 0691133298
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Haddad, Wassim M.
Chellaboina, Vijaysekhar
Hersteller: Princeton University Press
Maße: 260 x 183 x 56 mm
Von/Mit: Wassim M. Haddad (u. a.)
Erscheinungsdatum: 17.02.2008
Gewicht: 1,993 kg
preigu-id: 107813916
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