Stability criteria of random delay differential systems subject to random impulses
Weihai Zhang, Likang Feng, Zhaojing Wu, Ju H. Park · International Journal of Robust and Nonlinear Control · 2021
Abstract This article investigates the stability of random impulsive delay differential systems with the kind of random impulsive intensity determined by an arbitrary random sequence or an irreducible aperiodic Markov chain. Moreover, the continuous dynamics are described by random delay differential equations whose random disturbances are driven by second‐order moment processes. Based on the approaches of average impulsive interval and mode‐dependent average impulsive interval, the criteria of global asymptotic stability in probability and exponential stability in th moment are constructed, respectively. In the end, the feasibility of the proposed theoretical results is verified by an example.