Research paper Almost sure synchronization of stochastic multi-links semi-Markov jump systems via aperiodically intermittent control

This paper concentrates on the almost sure synchronization for a class of stochastic multilinks coupled semi-Markov jump systems through aperiodically intermittent control. For these stochastic switching systems, almost sure synchronization is investigated by employing modedependent multiple Lyapunov-like function method and stochastic analysis. Notably, modedependent multiple Lyapunov-like function method is designed to provide more flexibility. In addition, when considering the sojourn time distribution of the semi-Markov jump, dependence on both the current state and the next state can effectively reduce unnecessary restrictions compared with previous assumption of the sojourn time distribution function. Ultimately, the Chua's circuit along with numerical simulations are provided to validate the effectiveness of the theoretical results.