Stability Of Hybrid Systems
نویسنده
چکیده
This section collects work on the general stability analysis of hybrid systems. The hybrid systems considered are those that combine continuous dynamics—represented by differential or difference equations-with finite dynamics—usually thought of as being a finite automaton. We present some general background on stability analysis, and then work on the stability analysis of hybrid control systems. Specifically, we review multiple Lyapunov functions as a tool for analyzing Lyapunov stability. Other stability notions and other analysis tools are discussed in the subsection Going Further. Specializing to hybrid systems with linear dynamics in each constituent mode and linear jump operators, we review some key theorems for impulsive systems and give corollaries encompassing several recently-derived “stability by first approximation” theorems in the literature.
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