Impulsive and hybrid dynamical systems : stability, dissipativity, and control / / Wassim M. Haddad, VijaySekhar Chellaboina, Sergey G. Nersesov

• Autore: Haddad Wassim M. <1961->
• Pubblicazione: Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2006; ©2006
• Descrizione fisica: 1 online resource (522 p.)
• Disciplina: 003/.85
• Soggetto topico: Automatic control; Control theory; Dynamics; Discrete-time systems
• Soggetto non controllato: Actuator; Adaptive control; Algorithm; Amplitude; Analog computer; Arbitrarily large; Asymptote; Asymptotic analysis; Axiom; Balance equation; Bode plot; Boundedness; Calculation; Center of mass (relativistic); Coefficient of restitution; Continuous function; Control theory; Convex set; Differentiable function; Differential equation; Dissipation; Dissipative system; Dynamical system; Dynamical systems theory; Energy; Equations of motion; Equilibrium point; Escapement; Euler–Lagrange equation; Exponential stability; Forms of energy; Hamiltonian mechanics; Hamiltonian system; Hermitian matrix; Hooke's law; Hybrid system; Identity matrix; Inequality (mathematics); Infimum and supremum; Initial condition; Instability; Interconnection; Invariance theorem; Isolated system; Iterative method; Jacobian matrix and determinant; Lagrangian (field theory); Lagrangian system; Lagrangian; Likelihood-ratio test; Limit cycle; Limit set; Linear function; Linearization; Lipschitz continuity; Lyapunov function; Lyapunov stability; Mass balance; Mathematical optimization; Melting; Mixture; Moment of inertia; Momentum; Monotonic function; Negative feedback; Nonlinear programming; Nonlinear system; Nonnegative matrix; Optimal control; Ordinary differential equation; Orthant; Parameter; Partial differential equation; Passive dynamics; Poincaré conjecture; Potential energy; Proof mass; Quantity; Rate function; Requirement; Robust control; Second law of thermodynamics; Semi-infinite; Small-gain theorem; Special case; Spectral radius; Stability theory; State space; Stiffness; Supply (economics); Telecommunication; Theorem; Transpose; Uncertainty; Uniform boundedness; Uniqueness; Vector field; Vibration; Zeroth (software); Zeroth law of thermodynamics
• Persona (resp. second.): ChellaboinaVijaySekhar <1970->; NersesovSergey G. <1976->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Front matter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Stability Theory for Nonlinear Impulsive Dynamical Systems -- Chapter Three. Dissipativity Theory for Nonlinear Impulsive Dynamical Systems -- Chapter Four. Impulsive Nonnegative and Compartmental Dynamical Systems -- Chapter Five. Vector Dissipativity Theory for Large-Scale Impulsive Dynamical Systems -- Chapter Six. Stability and Feedback Interconnections of Dissipative Impulsive Dynamical Systems -- Chapter Seven. Energy-Based Control for Impulsive Port-Controlled Hamiltonian Systems -- Chapter Nine. Optimal Control for Impulsive Dynamical Systems -- Chapter Ten. Disturbance Rejection Control for Nonlinear Impulsive Dynamical Systems -- Chapter Eleven. Robust Control for Nonlinear Uncertain Impulsive Dynamical Systems -- Chapter Twelve. Hybrid Dynamical Systems -- Chapter Thirteen. Poincare Maps and Stability of Periodic Orbits for Hybrid Dynamical Systems -- Appendix A. System Functions for the Clock Escapement Mechanism -- Bibliography -- Index
• Sommario/riassunto: 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.
• Titolo autorizzato: Impulsive and hybrid dynamical systems
• ISBN: 1-4008-6524-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910786749303321
• Lo trovi qui: Univ. Federico II
• Serie: Princeton series in applied mathematics.