Exponential Stability of Repetitive Processes with Markovian Switching∗
نویسندگان
چکیده
This paper considers 2D feedback systems modeled a by repetitive process where both the forward path and the feedback paths are nonlinear. Using a Lyapunov function approach, sufficient conditions for exponential stability are obtained and in the linear case the connection between exponential stability and the existing stability along the pass theory is established. The results are then extended to repetitive processes where failures in operation can occur and the effects of these are modeled by a Markov chain with a finite set of states. Sufficient conditions for exponential stability in the mean square are obtained. In special case when the forward path is linear and the nonlinear feedback path satisfies quadratic constraints, the stability conditions are obtained in the form of linear matrix inequalities.
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