Abstract
This paper investigates the noise-to-state stability of random impulsive delay systems with multiple random impulses, whose random impulsive amplitude is driven by a homogeneous irreducible aperiodic Markov chain. Firstly, some sufficient conditions for the existence-and-uniqueness of the global solution are given for random impulsive systems with time-varying delay. Secondly, the noise-to-state stability criteria are proposed based on the approaches of mode-dependent average impulsive interval and the average impulsive interval respectively. Finally, the effectiveness is verified by the simulation results.
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