Abstract

The stochastic input-to-state stability (SISS) of stochastic nonlinear systems with Markovian switching (SNSwMS) is studied in this paper. Firstly, the notion of SISS for SNSwMS is introduced. And then SISS for SNSwMS is studied. Finally, by the method of changing the supply functions, the stability of cascaded stochastic input-to-state stable stochastic nonlinear subsystems with Markovian switching is investigated.

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