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Razumikhin-Type Theorems on p-th Moment Stability for Stochastic Switching Nonlinear Systems with Delay

DOI: 10.4236/jamp.2016.47129, PP. 1237-1244

Keywords: Stochastic Switching Delay System, p-th Moment Stability, Lyapunov-Razumikhin Approach

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Abstract:

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.

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