Dynamic group consensus for delayed heterogeneous multi-agent systems in cooperative-competitive networks via pinning control

Distinguished from the stationary group consensus problem, in this paper, the dynamic group consensus for a class of heterogeneous multi-agent systems under the influence of input time delays is investigated. A novel dynamic group consensus protocol is designed, where the coexisted cooperation and competition interaction relationships among the agents are considered. Two cases including identical and diverse input time delays are discussed, respectively. Based on matrix theory, system stability theory and pinning control strategy, some sufficient conditions for the heterogeneous systems are established to achieve dynamic group consensus asymptotically. The obtained results reveal that the achievement of systems' dynamic group consensus is related to systems control parameters, the in-degree and input time delays of the agents. Finally, the effectiveness of our theoretical results is verified by some numerical simulations. (c) 2021 Elsevier B.V. All rights reserved.

Automated summary

This paper investigates the dynamic group consensus for a class of heterogeneous multi-agent systems under the influence of input time delays, proposing a novel protocol and establishing sufficient conditions for achieving consensus in the systems. The results reveal the relationship between systems' control parameters, in-degree and input time delays of the agents, and the achievement of dynamic group consensus. The effectiveness of the theoretical results is verified through numerical simulations.