Nonlinear Dynamical Systems and Control (eBook)

A Lyapunov-Based Approach

VijaySekhar Chellaboina, Wassim M. Haddad (Autoren)

eBook Download: EPUB

2011
944 Seiten
Princeton University Press (Verlag)
978-1-4008-4104-2 (ISBN)

Infos

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.

Autor

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. They are the coauthors of Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control and Thermodynamics: A Dynamical Systems Approach (both Princeton).

Produkt-Details

• Erscheint lt. Verlag: 19.9.2011
• Zusatzinfo: 84 line illus.
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Technik
• Schlagworte: Addition • Algebraic Riccati equation • Amplitude • Backstepping • bellman equation • Bode plot • boundedness • Circle criterion • Class function (algebra) • continuous function • Continuous function (set theory) • Control Theory • convex set • corollary • Derivative • Diagonal matrix • Differentiable function • differential equation • Dimension (vector space) • Dissipation • Dissipative system • Division by zero • Dynamical system • Eigenvalues and Eigenvectors • Ephesus • Equations of motion • Equilibrium Point • Euler–Lagrange equation • existential quantification • Exponential stability • Feedback Linearization • Function problem • Gratitude • Hamiltonian System • imaginary number • Infimum and supremum • Initial Condition • Integrator • Interconnection • Lagrangian (field theory) • Limit cycle • limit set • Limit superior and limit inferior • Linear dynamical system • Linearization • Linear map • Lipschitz continuity • LTI system theory • Lyapunov equation • Lyapunov function • Lyapunov stability • Mathematical Optimization • Mathematics • matrix function • Measurable function • Minimum phase • Moment of Inertia • Monotonic Function • negative feedback • Nonlinear Control • nonlinear system • Norm (mathematics) • Notation • Open set • Operator norm • optimal control • Parameter • parent • Parseval's theorem • partial differential equation • Passivity (engineering) • Phase margin • Piecewise • polynomial • Positive-definite function • Positive-definite matrix • Riccati Equation • Robust Control • scientific notation • Semi-infinite • Singular value • Smoothness • Special case • Stability Theory • State Space • State-space Representation • state variable • stiffness matrix • Subset • Supply (economics) • Systems Theory • Theorem • Time-invariant System • Trade-off • Transfer Function • Uncertainty • uniqueness • Variable (mathematics) • Vector field • Without loss of generality
• ISBN-10: 1-4008-4104-6 / 1400841046
• ISBN-13: 978-1-4008-4104-2 / 9781400841042