Noise-to-state stability of random impulsive delay systems with multiple random impulses

Highlights：

• For random impulsive delay systems with multiple random impulsive intensity, the criteria of the existence and uniqueness of the global solution with general conditions are firstly given.

• In the random impulsive delay systems, there are multiple kinds of random impulses mixing effect on the random nonlinear systems, which are more general than the case with the signal impulse and can more accurately describe some complex situations in practical problems.

• With the random impulsive intensity at each impulsive moment being driven by a homogeneous irreducible aperiodic Markov chain, some criteria of noise-to-state stability are proposed for ran- dom impulsive delay systems based on mode-dependent average impulsive interval and average impulsive interval.

摘要

•For random impulsive delay systems with multiple random impulsive intensity, the criteria of the existence and uniqueness of the global solution with general conditions are firstly given.•In the random impulsive delay systems, there are multiple kinds of random impulses mixing effect on the random nonlinear systems, which are more general than the case with the signal impulse and can more accurately describe some complex situations in practical problems.•With the random impulsive intensity at each impulsive moment being driven by a homogeneous irreducible aperiodic Markov chain, some criteria of noise-to-state stability are proposed for ran- dom impulsive delay systems based on mode-dependent average impulsive interval and average impulsive interval.

论文关键词：Random impulsive systems,Multiple random impulses,Time-varying delay,Mode-dependent average impulsive interval,Noise-to-state stability

论文评审过程：Received 7 May 2021, Revised 23 July 2022, Accepted 30 August 2022, Available online 12 September 2022, Version of Record 12 September 2022.