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Title Hybrid Dynamical Systems : Modeling, Stability, and Robustness / Rafal Goebel, Ricardo G. Sanfelice, Andrew R. Teel.
Imprint Princeton, N.J. : Princeton University Press, [2012]


 Internet  Electronic Book    AVAILABLE
Edition Course book.
Description 1 online resource (232 pages) : illustrations
Note Available only to authorized UTEP users.
In English.
Online resource; title from PDF title page (publisher's Web site, viewed October 27 2015).
Subject Automatic control.
Control theory.
Mathematics -- Linear and amp -- Nonlinear Programming.
Science -- System Theory.
Contents Frontmatter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. The solution concept -- Chapter Three. Uniform asymptotic stability, an initial treatment -- Chapter Four. Perturbations and generalized solutions -- Chapter Five. Preliminaries from set-valued analysis -- Chapter Six. Well-posed hybrid systems and their properties -- Chapter Seven. Asymptotic stability, an in-depth treatment -- Chapter Eight. Invariance principles -- Chapter Nine. Conical approximation and asymptotic stability -- Appendix: List of Symbols -- Bibliography -- Index.
Summary 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.
Other Author Sanfelice, Ricardo G., author.
Teel, Andrew R., author.