# Stability and Control of Large-Scale Dynamical Systems [electronic resource] : A Vector Dissipative Systems Approach / Wassim M. Haddad.

##### By: Haddad, Wassim M.

##### Contributor(s): Nersesov, Sergey G.

Material type: TextSeries: Princeton series in applied mathematics: Publisher: Princeton : Princeton University Press, 2011Description: 1 online resource (389 p.).ISBN: 9781400842667 (electronic bk.); 1400842662 (electronic bk.); 1283379716; 9781283379717.Subject(s): Computer science | Mathematics | Lyapunov stability | Energy dissipation | Dynamics | Large scale systems | SCIENCE / System TheoryGenre/Form: Electronic books. | Electronic books.Additional physical formats: Print version:: Stability and Control of Large-Scale Dynamical Systems : A Vector Dissipative Systems ApproachDDC classification: 003/.71 Online resources: EBSCOhostDescription based upon print version of record.

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. Large-scale dynamical.

Includes bibliographical references and index.

#### Other editions of this work

Stability and Control of Large-Scale Dynamical Systems by Haddad, Wassim M. ©2011 | |

Stability and Control of Large-Scale Dynamical Systems by Haddad, Wassim M. ©2011 |

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