Finite-Time Average Consensus of Multi-Agent Systems with Impulsive Perturbations

The problem of finite-time average consensus (FTAC) of multi-agent systems (MASs) with impulsive perturbations under the switching topologies is investigated in this paper. Based on impulsive control theory and Lyapunov finitetime stability (FTS) theorem, a sufficient condition is obtained to guarantee the FTAC of MASs, and the setting-time is estimated. It indicates that the setting-time not only depends on the initial condition of MASs but also on the number of impulsive perturbations and network topologies. Accordingly, an example and its numerical simulation are proposed to illustrate the feasibility of the proposed results.

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