Hybrid Dynamical Systems : : Modeling, Stability, and Robustness / / Rafal Goebel, Andrew R. Teel, Ricardo G. Sanfelice.

• Superior document: Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013
• VerfasserIn: Goebel, Rafal,; Sanfelice, Ricardo G.,; Teel, Andrew R.,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2012]; ©2012
• Year of Publication: 2012
• Edition: Course Book
• Language: English
• Physical Description: 1 online resource (232 p.) :; 45 line illus.
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9781400842636; 9783110442502
• DOI: 10.1515/9781400842636?locatt=mode:legacy
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Rafal Goebel, Andrew R. Teel, Ricardo G. Sanfelice.

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.