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Stability and Control of Large-Scale Dynamical Systems : a Vector Dissipative Systems Approach / Wassim M. Haddad.

By: Haddad, Wassim M.
Contributor(s): Nersesov, Sergey G.
Material type: materialTypeLabelBookSeries: Princeton series in applied mathematics: Publisher: Princeton : Princeton University Press, 2011Description: 1 online resource (389 pages).Content type: text Media type: computer Carrier type: online resourceISBN: 9781400842667; 1400842662.Subject(s): Lyapunov stability | Energy dissipation | Dynamics | Large scale systems | Stabilit�e au sens de Liapounov | Dissipation d'�energie | Dynamique | Syst�emes de grandes dimensions | kinetics (dynamics) | SCIENCE -- System Theory | MATHEMATICS -- Linear & Nonlinear Programming | Dynamics | Energy dissipation | Large scale systems | Lyapunov stabilityGenre/Form: Electronic books. | Electronic books.Additional physical formats: Print version:: Stability and Control of Large-Scale Dynamical Systems : A Vector Dissipative Systems Approach.DDC classification: 003/.71 Online resources: Click here to access online
Contents:
Cover; Title Page; Copyright Page; Table of Contents; Preface; Chapter 1. Introduction; 1.1 Large-Scale Interconnected Dynamical Systems; 1.2 A Brief Outline of the Monograph; Chapter 2. Stability Theory via Vector Lyapunov Functions; 2.1 Introduction; 2.2 Notation and Definitions; 2.3 Quasi-Monotone and Essentially Nonnegative Vector Fields; 2.4 Generalized Differential Inequalities; 2.5 Stability Theory via Vector Lyapunov Functions; 2.6 Discrete-Time Stability Theory via Vector Lyapunov Functions; Chapter 3. Large-Scale Continuous-Time Interconnected Dynamical Systems; 3.1 Introduction; 3.2 Vector Dissipativity Theory for Large-Scale Nonlinear Dynamical Systems3.3 Extended Kalman-Yakubovich-Popov Conditions for Large-Scale Nonlinear Dynamical Systems; 3.4 Specialization to Large-Scale Linear Dynamical Systems; 3.5 Stability of Feedback Interconnections of Large-Scale Nonlinear Dynamical Systems; Chapter 4. Thermodynamic Modeling of Large-Scale Interconnected Systems; 4.1 Introduction; 4.2 Conservation of Energy and the First Law of Thermodynamics; 4.3 Nonconservation of Entropy and the Second Law of Thermodynamics; 4.4 Semistability and Large-Scale Systems; 4.5 Energy Equipartition4.6 Entropy Increase and the Second Law of Thermodynamics; 4.7 Thermodynamic Models with Linear Energy Exchange; Chapter 5. Control of Large-Scale Dynamical Systems via Vector Lyapunov Functions; 5.1 Introduction; 5.2 Control Vector Lyapunov Functions; 5.3 Stability Margins, Inverse Optimality, and Vector Dissipativity; 5.4 Decentralized Control for Large-Scale Nonlinear Dynamical Systems; Chapter 6. Finite-Time Stabilization of Large-Scale Systems via Control Vector Lyapunov Functions; 6.1 Introduction; 6.2 Finite-Time Stability via Vector Lyapunov Functions; 6.3 Finite-Time Stabilization of Large-Scale Dynamical Systems6.4 Finite-Time Stabilization for Large-Scale Homogeneous Systems; 6.5 Decentralized Control for Finite-Time Stabilization of Large-Scale Systems; Chapter 7. Coordination Control for Multiagent Interconnected Systems; 7.1 Introduction; 7.2 Stability and Stabilization of Time-Varying Sets; 7.3 Control Design for Multivehicle Coordinated Motion; 7.4 Stability and Stabilization of Time-Invariant Sets; 7.5 Control Design for Static Formations; 7.6 Obstacle Avoidance in Multivehicle Coordination; Chapter 8. Large-Scale Discrete-Time Interconnected Dynamical Systems8.1 Introduction; 8.2 Vector Dissipativity Theory for Discrete-Time Large-Scale Nonlinear Dynamical Systems; 8.3 Extended Kalman-Yakubovich-Popov Conditions for Discrete-Time Large-Scale Nonlinear Dynamical Systems; 8.4 Specialization to Discrete-Time Large-Scale Linear Dynamical Systems; 8.5 Stability of Feedback Interconnections of Discrete-Time Large-Scale Nonlinear Dynamical Systems\; Chapter 9. Thermodynamic Modeling for Discrete-Time Large-Scale Dynamical Systems; 9.1 Introduction; 9.2 Conservation of Energy and the First Law of Thermodynamics.
Summary: Modern complex large-scale dynamical systems exist in virtually every aspect of science and engineering, and are associated with a wide variety of physical, technological, environmental, and social phenomena, including aerospace, power, communications, and network systems, to name just a few. This book develops a general stability analysis and control design framework for nonlinear large-scale interconnected dynamical systems, and presents the most complete treatment on vector Lyapunov function methods, vector dissipativity theory, and decentralized control architectures.
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Cover; Title Page; Copyright Page; Table of Contents; Preface; Chapter 1. Introduction; 1.1 Large-Scale Interconnected Dynamical Systems; 1.2 A Brief Outline of the Monograph; Chapter 2. Stability Theory via Vector Lyapunov Functions; 2.1 Introduction; 2.2 Notation and Definitions; 2.3 Quasi-Monotone and Essentially Nonnegative Vector Fields; 2.4 Generalized Differential Inequalities; 2.5 Stability Theory via Vector Lyapunov Functions; 2.6 Discrete-Time Stability Theory via Vector Lyapunov Functions; Chapter 3. Large-Scale Continuous-Time Interconnected Dynamical Systems; 3.1 Introduction; 3.2 Vector Dissipativity Theory for Large-Scale Nonlinear Dynamical Systems3.3 Extended Kalman-Yakubovich-Popov Conditions for Large-Scale Nonlinear Dynamical Systems; 3.4 Specialization to Large-Scale Linear Dynamical Systems; 3.5 Stability of Feedback Interconnections of Large-Scale Nonlinear Dynamical Systems; Chapter 4. Thermodynamic Modeling of Large-Scale Interconnected Systems; 4.1 Introduction; 4.2 Conservation of Energy and the First Law of Thermodynamics; 4.3 Nonconservation of Entropy and the Second Law of Thermodynamics; 4.4 Semistability and Large-Scale Systems; 4.5 Energy Equipartition4.6 Entropy Increase and the Second Law of Thermodynamics; 4.7 Thermodynamic Models with Linear Energy Exchange; Chapter 5. Control of Large-Scale Dynamical Systems via Vector Lyapunov Functions; 5.1 Introduction; 5.2 Control Vector Lyapunov Functions; 5.3 Stability Margins, Inverse Optimality, and Vector Dissipativity; 5.4 Decentralized Control for Large-Scale Nonlinear Dynamical Systems; Chapter 6. Finite-Time Stabilization of Large-Scale Systems via Control Vector Lyapunov Functions; 6.1 Introduction; 6.2 Finite-Time Stability via Vector Lyapunov Functions; 6.3 Finite-Time Stabilization of Large-Scale Dynamical Systems6.4 Finite-Time Stabilization for Large-Scale Homogeneous Systems; 6.5 Decentralized Control for Finite-Time Stabilization of Large-Scale Systems; Chapter 7. Coordination Control for Multiagent Interconnected Systems; 7.1 Introduction; 7.2 Stability and Stabilization of Time-Varying Sets; 7.3 Control Design for Multivehicle Coordinated Motion; 7.4 Stability and Stabilization of Time-Invariant Sets; 7.5 Control Design for Static Formations; 7.6 Obstacle Avoidance in Multivehicle Coordination; Chapter 8. Large-Scale Discrete-Time Interconnected Dynamical Systems8.1 Introduction; 8.2 Vector Dissipativity Theory for Discrete-Time Large-Scale Nonlinear Dynamical Systems; 8.3 Extended Kalman-Yakubovich-Popov Conditions for Discrete-Time Large-Scale Nonlinear Dynamical Systems; 8.4 Specialization to Discrete-Time Large-Scale Linear Dynamical Systems; 8.5 Stability of Feedback Interconnections of Discrete-Time Large-Scale Nonlinear Dynamical Systems\; Chapter 9. Thermodynamic Modeling for Discrete-Time Large-Scale Dynamical Systems; 9.1 Introduction; 9.2 Conservation of Energy and the First Law of Thermodynamics.

Modern complex large-scale dynamical systems exist in virtually every aspect of science and engineering, and are associated with a wide variety of physical, technological, environmental, and social phenomena, including aerospace, power, communications, and network systems, to name just a few. This book develops a general stability analysis and control design framework for nonlinear large-scale interconnected dynamical systems, and presents the most complete treatment on vector Lyapunov function methods, vector dissipativity theory, and decentralized control architectures.

Includes bibliographical references and index.

In English.

IEEE IEEE Xplore Princeton University Press eBooks Library

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