Hybrid Dynamical Systems - Rafal Goebel, Ricardo G. Sanfelice, Andrew R. Teel

Hybrid Dynamical Systems (eBook)

Modeling, Stability, and Robustness

Rafal Goebel, Ricardo G. Sanfelice, Andrew R. Teel (Autoren)

eBook Download: EPUB

2012
232 Seiten
Princeton University Press (Verlag)
978-1-4008-4263-6 (ISBN)

Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems. Filled with a wealth of examples to illustrate concepts, this book presents a complete theory of robust asymptotic stability for hybrid dynamical systems that is applicable to the design of hybrid control algorithms--algorithms that feature logic, timers, or combinations of digital and analog components. With the tools of modern mathematical analysis, Hybrid Dynamical Systems unifies and generalizes earlier developments in continuous-time and discrete-time nonlinear systems. It presents hybrid system versions of the necessary and sufficient Lyapunov conditions for asymptotic stability, invariance principles, and approximation techniques, and examines the robustness of asymptotic stability, motivated by the goal of designing robust hybrid control algorithms. This self-contained and classroom-tested book requires standard background in mathematical analysis and differential equations or nonlinear systems. It will interest graduate students in engineering as well as students and researchers in control, computer science, and mathematics.

Rafal Goebel is an assistant professor in the Department of Mathematics and Statistics at Loyola University, Chicago. Ricardo G. Sanfelice is an assistant professor in the Department of Aerospace and Mechanical Engineering at the University of Arizona. Andrew R. Teel is a professor in the Electrical and Computer Engineering Department at the University of California, Santa Barbara.

Erscheint lt. Verlag	18.3.2012
Zusatzinfo	45 line illus.
Verlagsort	Princeton
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Technik
Schlagworte	absolute continuity • algorithm • angular frequency • Approximation • Arbitrarily large • asymptotic stability • Bolzano–Weierstrass theorem • boundedness • Classical control theory • closed sets • combination • compact sets • Compact space • conical approximation • conical hybrid system • Continuity Properties • continuous function • Continuous function (set theory) • Continuous Time • continuous-time systems • Contradiction • Control Theory • convex function • convex set • corollary • data structure • detection • Differentiable function • differential equation • Differential Equations • differential inclusion • differential inclusions • Differentiation under the integral sign • Discrete Time • Discrete time and continuous time • Discrete-time systems • Dissipation • Domain of a function • Double integrator • Dynamical system • Dynamical Systems • Embedding • empty set • Equation • Equilibrium Point • Equilibrium Points • estimation • Euclidean space • existential quantification • flow map • flow set • Generalized Solutions • graphical convergence • hausdorff distance • Hermes solutions • hybrid arcs • hybrid automaton • hybrid control algorithms • hybrid dynamical systems • hybrid feedback control • Hybrid Models • hybrid system • hybrid time domains • Hysteresis • Inductance • Infimum and supremum • Initial Condition • Initial point • Integrator • invariance principles • jump map • jump set • Krasovskii regularization • Krasovskii solutions • Limit of a sequence • Limit point • _-limit sets • Limit superior and limit inferior • Linear Function • Linearization • Linear map • Lipschitz continuity • Local boundedness • Lyapunov conditions • Lyapunov function • Lyapunov functions • Lyapunov-like functions • Lyapunov stability • Mathematical Optimization • Measurement • Modeling • modeling frameworks • Monotonic Function • Newton's cradle • nonlinear system • Nonlinear Systems • Norm (mathematics) • Notation • Numerical simulations • output function • Parameter • parametrization • partial derivative • Pointwise • pre-asymptotically stable sets • pre-asymptotic stability • precompact solutions • Quantity • Quantization (signal processing) • Quasinorm • Rate of Convergence • regularity properties • Regularization (mathematics) • Requirement • resistor • Robustness • Sampling (signal processing) • Semi-continuity • Sequence • servomechanism • set convergence • Set (mathematics) • set-valued analysis • Set-valued mappings • smoothing • smooth Lyapunov function • Smoothness • solution concept • Special case • Stability Theory • state measurement error • state perturbations • State Space • state variable • step function • subsequence • Subset • switching signals • Switching systems • Symmetric matrix • tangent cone • Theorem • Thyristor • time domain • Timer • transient response • uniform asymptotic stability • uniform boundedness • uniform convergence • uniqueness • Variable (mathematics) • well-posed hybrid systems • Well-Posedness • Well-posed Problems • Without loss of generality • Zero-order hold • ω-limit sets
ISBN-10	1-4008-4263-8 / 1400842638
ISBN-13	978-1-4008-4263-6 / 9781400842636

Haben Sie eine Frage zum Produkt?

EPUB (Adobe DRM)

Kopierschutz: Adobe-DRM
Adobe-DRM ist ein Kopierschutz, der das eBook vor Mißbrauch schützen soll. Dabei wird das eBook bereits beim Download auf Ihre persönliche Adobe-ID autorisiert. Lesen können Sie das eBook dann nur auf den Geräten, welche ebenfalls auf Ihre Adobe-ID registriert sind.
Details zum Adobe-DRM

Dateiformat: EPUB (Electronic Publication)
EPUB ist ein offener Standard für eBooks und eignet sich besonders zur Darstellung von Belletristik und Sachbüchern. Der Fließtext wird dynamisch an die Display- und Schriftgröße angepasst. Auch für mobile Lesegeräte ist EPUB daher gut geeignet.

Systemvoraussetzungen:
PC/Mac: Mit einem PC oder Mac können Sie dieses eBook lesen. Sie benötigen eine Adobe-ID und die Software Adobe Digital Editions (kostenlos). Von der Benutzung der OverDrive Media Console raten wir Ihnen ab. Erfahrungsgemäß treten hier gehäuft Probleme mit dem Adobe DRM auf.
eReader: Dieses eBook kann mit (fast) allen eBook-Readern gelesen werden. Mit dem amazon-Kindle ist es aber nicht kompatibel.
Smartphone/Tablet: Egal ob Apple oder Android, dieses eBook können Sie lesen. Sie benötigen eine Adobe-ID sowie eine kostenlose App.
Geräteliste und zusätzliche Hinweise

Buying eBooks from abroad
For tax law reasons we can sell eBooks just within Germany and Switzerland. Regrettably we cannot fulfill eBook-orders from other countries.

Print-Ausgabe

Buch | Hardcover

114,70 €