Group consensus of multi-agent systems with cooperative-competitive interaction and communication delay in switching topologies networks based on the delta operator method

Abstract

In this paper, group consensus of multi-agent systems with cooperative-competitive interaction and communication delay is investigated in switching topologies networks. The delta operator method and linear matrix inequality technique are used to establish the criteria on group consensus of this system. Combined with the stability theory, some sufficient conditions are given to guard the success of the group consensus of the multi-agent systems with switching topologies. Using this method, the problem of group consensus can be transformed into determining the globally asymptotically stable of a system with communication delay. The results can be applied to two situations on faults and communication delay without meeting the in-degree balance condition or spanning tree of part topologies. Several numeric simulations are given to illustrate the effectiveness of the theoretical results.