Abstract

In this article, we introduced the time scale theory to study the controllability results of singular switched dynamic system. We evaluate the solution of slow-switched subsystem and fast-switched subsystem by using the mathematical induction. Also, we investigate the necessary and sufficient condition for controllability result of singular switched dynamic system followed by the state response of fast-switched and slow-switched subsystems. In the end, we gave an example that can show the efficacy of the proposed method.

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