Simulation of piecewise hybrid dynamical systems in matlab. Filled with a wealth of examples to illustrate concepts, this book presents a complete theory of robust asymptotic stability for hybrid dynamical. Hybrid dynamical systems princeton university press. A relaxationbased approach to optimal control of hybrid. Hybrid dynamical systems presents theoretical advances in such areas as diagnosability, observability and stabilization for various classes of system. 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. We trust that others who are more quali ed to do so will write books on hybrid.
This book develops a general analysis and synthesis framework for impulsive and hybrid dynamical systems. Hybrid dynamical systems observation and control mohamed. What is the exact definition of a hybrid system and what. This book is a collection of contributions defining the state of current knowledge and new trends in hybrid systems sy. With the tools of modern mathematical analysis, hybrid dynamical systems unifies and generalizes earlier developments in continuoustime and discretetime nonlinear systems. The model of a hybrid system used in this book is informally presented in this section. Impulsive and hybrid dynamical systems stability, dissipativity. This article is a tutorial on modeling the dynamics of hybrid systems, on the elements of stability theory for hybrid systems, and on the basics of hybrid control. The focus is on the data structure and on modeling. This book is a collection of contributions defining the state of current knowledge and new trends in hybrid systems systems involving both continuous dynamics. The upper plot corresponds to spring constant 1 10. Excellent book for reasearchers within the field of systems and control, but also for students. The hybrid systems laboratory hsl at the department of computer engineering, university of california at santa cruz, focuses on the analysis of hybrid dyna. Read hybrid dynamical systems observation and control by available from rakuten kobo.
Observation and control lecture notes in control and information sciences djemai, mohamed, defoort, michael on. 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. The term hybrid system has many meanings, one of which is. 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. The book gives an overview of the existing conventional and newly developed relaxation techniques associated with the conventional systems described by ordinary differential equations. The authors consider hybrid systems where the solutions are so called hybrid arcs. Using graphical convergence, for sequences of such hybrid arcs, the authors show a lot of interesting stability, invariance and robustness results for the hybrid systems. Continuous and discrete state estimation and selftriggering control of nonlinear systems are advanced. Observation and control lecture notes in control and information sciences. Hybrid dynamical systems are a class of complex systems that involve interacting discreteevent and continuousvariable dynamics.