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Hybrid Dynamical Systems: Modeling, Stability, And Robustness,Used
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Hybrid dynamical systems exhibit continuous and instantaneous changes, having features of continuoustime and discretetime 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 algorithmsalgorithms 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 continuoustime and discretetime 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 selfcontained and classroomtested 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.
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