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This paper mainly
tends to utilize Razumikhin-type theorems to investigate p-th moment stability
for a class of stochastic switching nonlinear systems with delay. Based on the Lyapunov-Razumik-
hin methods, some sufficient conditions are derived to check the stability of stochastic
switching nonlinear systems with delay. One numerical example is provided to
demonstrate the effectiveness of the results.
This paper studies the stability of impulsive differential systems when the pulses happen in the random time. Under the influence of random pulses, the solutions of impulsive differential equations become the stochastic processes, so the solutions are far different from the deterministic impulsive differential equations’. In this paper, we study how the random pulses affect the stability of the systems, and then the sufficient condition on P-moment stability is established.