Synchronization for stochastic coupled networks with Lévy noise via event-triggered control

This paper addresses the realization of almost sure synchronization problem for a new array stochastic networks associated with delay and Lévy noise via event-triggered control. The coupling structure network is governed by continuous-time homogeneous Markov chain. nodes in communicate each other update their information only at discrete-time instants so that workload can be minimized. Under framework process including chain process, convergence theorem non-negative semi-martingales, we show Markovian coupled achieve control methodology. results are further extended to directed topology, where asymmetric. Furthermore, also proved Zeno behavior excluded under our proposed approach, indicating practically feasible. Numerical simulations provided demonstrate effectiveness obtained theoretical results.