eBook

Impulsive and Hybrid Dynamical Systems

Haddad, Wassim M, Nersesov, Sergey G, Chellaboina, VijaySekhar

2014

Overview

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.

• Publisher: Princeton University Press
• Subject: Adaptive control / Aerospace / Amplitude / Analog computer / Applied / Arbitrarily large / Asymptote / Asymptotic analysis / Automatic control / Axiom / Bode plot / Boundedness / Calculation / Continuous function / Control theory / Differentiable function / Differential equation / Discrete-time systems / Dissipation / Dissipative system / Dynamical system / Dynamical systems theory / Dynamics / Engineering / Equations of motion / Equilibrium point / Escapement / General Topics for Engineers / Hamiltonian mechanics / Hamiltonian system / Hybrid system / Identity matrix / Inequality (mathematics) / Infimum and supremum / Instability / Interconnection / Invariance theorem / Iterative method / Lagrangian (field theory) / Limit cycle / Limit set / Linear function / Linearization / Lipschitz continuity / Lyapunov function / Lyapunov stability / Mass balance / Mathematical optimization / Mathematics / MATHEMATICS / Applied / Mechanics / Melting / Mixture / Moment of inertia / Monotonic function / Negative feedback / Nonlinear programming / Nonlinear system / Nonnegative matrix / Optimal control / Ordinary differential equation / Orthant / Parameter / Partial differential equation / Passive dynamics / Physics / Poincaré conjecture / Proof mass / Robotics and Control Systems / Robust control / Science / SCIENCE / Mechanics / Thermodynamics / Semi-infinite / Small-gain theorem / Special case / Stability theory / State space / Stiffness / Technology / Technology & Engineering / Engineering (General) / Theorem / Thermodynamics / Transportation / Transpose / Uncertainty / Vector field / Vibration / Zeroth law of thermodynamics
• ISBN: 0691127158, 9780691127156, 1400865247, 9781400865246