Abstract

This paper is concerned with analyzing noise-to-state stability of a class of nonlinear systems with random disturbances and impulses. It is assumed that the random noises have finite second-order moments and the random impulses have impulse ranges driven by a sequence of random variables. The Lyapunov approach is first utilized to establish the criteria on global existence and stability of solutions for the considered random nonlinear impulsive systems. Then the average impulsive interval approach is applied to develop sufficient conditions on noise-to-state stability of random nonlinear impulsive systems. A numerical example is presented to show the efficiency of the proposed theoretical results.

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