Leseprobe
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Nonlinear Dynamical Systems and Control
Wassim M. Haddad, VijaySekhar Chellaboina
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
Nonlinear Dynamical Systems and Control presents and develops an extensive treatment of stability analysis and control design of nonlinear dynamical systems, with an emphasis on Lyapunov-based methods. Dynamical system theory lies at the heart of mathematical sciences and engineering. The application of dynamical systems has crossed interdisciplinary boundaries from chemistry to biochemistry to chemical kinetics, from medicine to biology to population genetics, from economics to sociology to psychology, and from physics to mechanics to engineering. The increasingly complex nature of engineering systems requiring feedback control to obtain a desired system behavior also gives rise to dynamical systems.
Wassim Haddad and VijaySekhar Chellaboina provide an exhaustive treatment of nonlinear systems theory and control using the highest standards of exposition and rigor. This graduate-level textbook goes well beyond standard treatments by developing Lyapunov stability theory, partial stability, boundedness, input-to-state stability, input-output stability, finite-time stability, semistability, stability of sets and periodic orbits, and stability theorems via vector Lyapunov functions. A complete and thorough treatment of dissipativity theory, absolute stability theory, stability of feedback systems, optimal control, disturbance rejection control, and robust control for nonlinear dynamical systems is also given. This book is an indispensable resource for applied mathematicians, dynamical systems theorists, control theorists, and engineers.
Kundenbewertungen
Special case, Vector field, Class function (algebra), Negative feedback, Algebraic Riccati equation, Dissipative system, Control theory, Riccati equation, Mathematical optimization, Supply (economics), Lipschitz continuity, Initial condition, Bellman equation, Without loss of generality, Positive-definite matrix, Positive-definite function, Stability theory, Limit cycle, Lyapunov stability, Linearization, Matrix function, Optimal control, Continuous function (set theory), Backstepping, Bode plot, Exponential stability, State-space representation, Infimum and supremum, Dissipation, Corollary, Lyapunov equation, Passivity (engineering), Transfer function, Eigenvalues and eigenvectors, Parameter, Singular value, Ephesus, Euler–Lagrange equation, Limit set, Uncertainty, Addition, Polynomial, Linear dynamical system, Nonlinear control, Theorem, Robust control, Phase margin, Parseval's theorem, Lyapunov function, LTI system theory, Uniqueness, Interconnection, State variable, Subset, Dynamical system, Norm (mathematics), Nonlinear system, Hamiltonian system, Gratitude, Continuous function, Time-invariant system, State space, Diagonal matrix, Division by zero, Feedback linearization, Differentiable function, Measurable function, Minimum phase, Smoothness, Equilibrium point