Leseprobe
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Impulsive and Hybrid Dynamical Systems
Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
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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Escapement, Poincaré conjecture, Asymptote, Dissipation, Passive dynamics, Nonnegative matrix, Differentiable function, Lyapunov stability, Orthant, Special case, Melting, Arbitrarily large, Axiom, Uncertainty, Adaptive control, Ordinary differential equation, Interconnection, Control theory, Identity matrix, Zeroth law of thermodynamics, Small-gain theorem, Infimum and supremum, Monotonic function, Moment of inertia, Differential equation, Lipschitz continuity, Analog computer, Nonlinear system, Inequality (mathematics), Vibration, Hamiltonian system, Mathematical optimization, Transpose, Limit set, Asymptotic analysis, Dissipative system, Vector field, Hamiltonian mechanics, Mass balance, Equilibrium point, Calculation, Nonlinear programming, State space, Instability, Robust control, Boundedness, Negative feedback, Lyapunov function, Partial differential equation, Invariance theorem, Optimal control, Parameter, Stability theory, Amplitude, Bode plot, Iterative method, Dynamical systems theory, Mixture, Stiffness, Theorem, Dynamical system, Linear function, Linearization, Equations of motion, Limit cycle, Proof mass, Continuous function, Lagrangian (field theory), Semi-infinite, Hybrid system