Leader-Following Consensus of Discrete-Time Stochastic Nonlinear Multiagent Systems Under Fixed and Switching Topologies via Impulsive Control

In this article, the leader-following consensus of discrete-time second-order stochastic nonlinear multiagent systems with Markovian switching topology is investigated. Assume that the switching rule between the communication topologies is subject to the average dwell time (ADT) constraint. By taking advantage of the impulsive control strategy, the leader-following consensus issue is transformed into the stability problem of the impulsive error systems. Several sufficient conditions respecting the exponential mean-square stability for impulsive error system under fixed and switching topologies are derived by utilizing the Lyapunov function and the notions of average impulsive interval and ADT. Intriguingly, this article considers that impulsive instant and switching instant are independent of each other. Four potential cases of system evolution under Markovian switching topology are discussed. Finally, simulation results are reported to illustrate the effectiveness of our developed results.