Hybrid Dynamical Systems: Modeling, Stability, and Robustness 1st Edition by Rafal Goebel (PDF)

Description

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐The authors consider hybrid systems where the solutionsare so called hybrid arcs. Using graphical convergence,for sequences of such hybrid arcs, the authors show a lot ofinteresting stability, invariance and robustness resultsfor the hybrid systems. Excellent book for reasearcherswithin the field of systems and control, but also for students.I read this book with the classical stability theory in mind wherethe solutions are functions of time, andin the proofs I sort of did comparisons. Many of the proofs are elegant,and short. I found just a few minor typos throughout the book.

⭐This is going to become a standard reference, as it summarises the very successful research line by the authors. It contains lots of useful results and examples, and it is a good starting point for your work.

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