Exponential consensus of nonlinear stochastic discrete-time multi-agent systems with time-varying delay via impulsive control

Abstract

This paper tackles the leader-following exponential consensus (LFEC) problem of nonlinear stochastic discrete-time multi-agent systems (DTMASs), which are subject to parameter uncertainties, stochastic disturbances and time-varying delay. An effective impulsive control strategy is utilised to guarantee that the leader-following consensus can be achieved exponentially. Particularly, several sufficient criteria regarding LFEC are derived by exploring the Lyapunov–Krasovskii functional and the linear matrix inequality technique. Additionally, the definition of the average impulsive interval is embedded into our developed results, which makes the results to be less conservative than those utilising the maximum and minimum impulsive intervals. At last, by the demonstration of numerical simulation results, the developed results are proven to be effective for achieving the LFEC of DTMASs.