Event-Triggered Sampling Problem for Exponential Stability of Stochastic Nonlinear Delay Systems Driven by Lévy Processes

This article mainly discusses the stabilization issue for a class of stochastic nonlinear delay systems driven by Lévy processes. Based on a novel event-triggered strategy and stochastic analysis techniques, we solve the practically $p$th moment exponential stability problem of the considered system. Comparing with those previous results, we do not require the global Lipschitz condition and do not use the linear matrix inequality method. Also, different from many results for stochastic systems in discrete-time or stochastic systems in continuous-time driven by the usual Brownian motion, our results are mainly concentrated on the event-triggered sampling problem of stochastic systems in continuous-time driven…

• NN
  National Natural Science Foundation of China

  Award: 62173139
• NS
  Natural Science Foundation of Hunan Province

  Award: 2023JJ30388