Mean square consensus of uncertain discrete-time stochastic multi-agent systems with x-dependent noise

Abstract

ABSTRACTIn this paper, the mean square consensus control problem is investigated for linear uncertain discrete-time multi-agent systems with x-dependent noise and time-varying delays. Under undirected connected topology, the robust consensus problem of multi-agent systems is converted into the robust stabilisation problem for the discrete-time stochastic systems. By utilising Lyapunov functional and the linear matrix inequality method, some new sufficient conditions are derived to guarantee the consensus of uncertain discrete-time stochastic multi-agent systems. Based on the state feedback controller protocol with time-varying delays, a new consensus criterion is established for the discrete-time stochastic multi-agent systems with parameter uncertainties. Finally, numerical examples are provided to illustrate the effectiveness of the proposed results.