Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control (Google eBook)

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Princeton University Press, 2006 - Mathematics - 504 pages
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This book develops a general analysis and synthesis framework for impulsive and hybrid dynamical systems. Such a framework is imperative for modern complex engineering systems that involve interacting continuous-time and discrete-time dynamics with multiple modes of operation that place stringent demands on controller design and require implementation of increasing complexity--whether advanced high-performance tactical fighter aircraft and space vehicles, variable-cycle gas turbine engines, or air and ground transportation systems.

Impulsive and Hybrid Dynamical Systems goes beyond similar treatments by developing invariant set stability theorems, partial stability, Lagrange stability, boundedness, ultimate boundedness, dissipativity theory, vector dissipativity theory, energy-based hybrid control, optimal control, disturbance rejection control, and robust control for nonlinear impulsive and hybrid dynamical systems. A major contribution to mathematical system theory and control system theory, this book is written from a system-theoretic point of view with the highest standards of exposition and rigor. It is intended for graduate students, researchers, and practitioners of engineering and applied mathematics as well as computer scientists, physicists, and other scientists who seek a fundamental understanding of the rich dynamical behavior of impulsive and hybrid dynamical systems.

  

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Contents

Introduction
1
Stability Theory for Nonlinear Impulsive Dynamical Systems
9
Dissipativity Theory for Nonlinear Impulsive Dynamical Systems
81
Impulsive Nonnegative and Compartmental Dynamical Systems
125
Vector Dissipativity Theory for LargeScale Impulsive Dynamical Systems
147
Stability and Feedback Interconnections of Dissipative Impulsive Dynamical Systems
191
EnergyBased Control for Impulsive PortControlled Hamiltonian Systems
221
Energy and EntropyBased Hybrid Stabilization for Nonlinear Dynamical Systems
249
Disturbance Rejection Control for Nonlinear Impulsive Dynamical Systems
351
Robust Control for Nonlinear Uncertain Impulsive Dynamical Systems
385
Hybrid Dynamical Systems
411
Poincaré Maps and Stability of Periodic Orbits for Hybrid Dynamical Systems
443
System Functions for the Clock Escapement Mechanism
477
Bibliography
485
Index
501
Copyright

Optimal Control for Impulsive Dynamical Systems
319

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About the author (2006)

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. Sergey G. Nersesov is Assistant Professor of Mechanical Engineering at Villanova University. Haddad, Chellaboina, and Nersesov previously coauthored "Thermodynamics: A Dynamical Systems Approach" (Princeton).

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