Couple-Group Consensus of Heterogeneous Multi-Agents Systems With Markov Switching and Cooperative-Competitive Interaction

Abstract

In this paper, couple-group consensus is investigated for a kind of heterogeneous multi-agent systems (HMASs) with Markov switching. Some novel couple-group consensuses have been proposed, in which cooperative-competitive interaction, Markov switching and time delay are all considered. For Markov switching, the transitive rate of probability can be divided into two cases: known or partly known. Based on stochastic delta operator, probability, graph and stability theories, the leader-following and pinning couple-group consensus of this system be converted into analyzing the stability of related switching delta operator system. In the obtained results, some conservative conditions, such as the balance of in or out degree, strong connectivity and containing a spanning tree, can be longer strictly demanded. Some numerical examples are given to show the validity of the acquired results.

Cooperative Control of Multi-Time-Scale Agent Networks Under Digraphs

“…by using the fact that c ≥ λmax(P ) λmin(Q) and the condition (9). In this case, V1 (ε, ξ) < 0 for any ε ∈ (0, ε * ].…”

The Couple‐Group Consensus of Heterogeneous Multiagent Systems with Asynchronous Switching in Cooperative‐Competitive Networks

“…On the other hand, although many results have been obtained for the group consensus of MASs, the demands of topology of MASs are very strictly, such as in or out-degree balance, having a spanning tree or bipartite network, etc. Moreover, most of these obtained achievements are needed to assume that the relation between agents is competitive or cooperative, whereas in many practical situations, competitive and cooperative relations may coexist [35]. In [35], we have discussed the couple-group consensus of HMASs with Markov switching and cooperative-competitive relation.…”

“…Moreover, most of these obtained achievements are needed to assume that the relation between agents is competitive or cooperative, whereas in many practical situations, competitive and cooperative relations may coexist [35]. In [35], we have discussed the couple-group consensus of HMASs with Markov switching and cooperative-competitive relation. In fact, cooperative-competitive relation may exist in many community groups.…”

“…Terefore, it is necessary for us to consider both the cooperative and competitive relation between agents in HMASs, which is more realistic. Up to now, some meaningful results have been obtained for consensus of HMASs with competitive-cooperative relation [30,31,33,35].…”