Abstract
The problem of stability analysis of stochastic nonlinear systems with asynchronous impulses and switchings is addressed in this paper. The obvious distinctions between the previous results and ours are that the impulses are not simultaneous with the switchings and the jump maps are different and dependent on the impulsive instants. By introducing the concepts of mode-independent(dependent) average impulsive interval and average dwell time to describe the impulsive and switching signals, respectively, sufficient conditions ensuring global asymptotic stability and almost sure stability are provided. Meanwhile, some new results for stochastic impulsive/switching nonlinear systems are established. In the end, two illustrative examples are given to show the applicability of our theoretical results.
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