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This paper is devoted to discuss the role of the minimum residence time in the stabilization of dynamic discrete switched systems. It is found that it can be obviated if the sampling period is sufficiently large even without imposing the requirement in the continuous-time case that the various switched parameterizations (referred to often as “ configurations”) possess a common Lyapunov function. However,...
Mathematical modeling of Hybrid Dynamical Systems (HDS) aims for describing in a more complete formulation those behaviors composed by discrete and continuous dynamics. This article develops a detailed mathematical description of two systems which exhibit a hybrid behavior through two different models widely known in the HDS theory: The Switched systems and the Hybrid automaton. In addition, some...
Most practical systems are continuous in nature but with discrete (sampled) feedback. This paper investigates the stabilization problem of switched continuous-time systems with sampled feedback. A sufficient stability condition related to Dwell time and sampling period is established, which provides a useful rule for stabilization control design.
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