Pinning synchronization control for a class of discrete-time switched stochastic complex networks under event-triggered mechanism

In this paper, the pinning control problem is considered for the synchronization of a class of nonlinear discrete-time switched stochastic complex networks with identical nodes. The networks we considered are very general that account for nonlinear inner-coupling structures and nonidentical exogenous disturbances. In order to save the communication cost, a pinning controller under the event-triggered scheme is designed to realize the synchronization. The notion of bounded synchronization in probability is introduced to characterize the performance of the controlled dynamical networks in the presence of exogenous disturbances, switching rules and event-triggered schemes. Upper bounds of the states of the switched stochastic complex networks are first provided, and then the controller gain, the event-trigger parameters and the average dwell time are co-designed for switched subsystems. At last, a numerical example is given to illustrate the effectiveness of our results. (C) 2020 Elsevier Ltd. All rights reserved.