Hybrid Dynamical Systems: Modeling, Stability, and Robustness

Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuous-time and discrete-time dynamical systems.\n\nFilled 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.Hybrid Dynamical Systems: Modeling, Stability, and Robustness is written by Rafal Goebel; Ricardo G. Sanfelice; Andrew R. Teel and published by Princeton University Press. ISBNs for Hybrid Dynamical Systems are 9781400842636, 1400842638 and the print ISBNs are 9780691153896, 0691153892.