Finite-time self-triggered synchronization for semi-Markov jump reaction–diffusion complex dynamical networks

This work studies the finite-time self-triggered synchronization for semi-Markov jump reaction–diffusion complex dynamical networks (CNDs). Discussed the more general switching topologies of CNDs, semi-Markov process enhances the practicality of the investigated model. The self-triggered protocol does not require additional hardware for monitoring system state, but instead relies on the recent samples and plant information to predict the next triggering moment, effectively avoiding resource wastage. The minimum inter-event time for the established self-triggered control is given to prevent Zeno phenomena, and the sufficient synchronization criterion of CNDs is derived based on finite-time boundedness and inequality technique. Finally, the effectiveness of the proposed methodology is presented by numerical example and application example.