Couple-group consensus for heterogeneous MASs under switched topologies in cooperative-competitive systems: A hybrid pinning and delta operator skills

Xingcheng Pu, Li Ren, Yi Liu, Rui Pu

Abstract: In this paper, pinning control and delta operator skills are applied to study couple-group consensus for heterogeneous MASs (multi-agent systems) with switched topology in cooperative-competitive networks. A new couple-group consensus agreement has been designed for this heterogeneous MASs with time delay. On the basis of delta operator and stability theory, couple-group consensus of the continuous or discrete systems can be transformed to analyze stability of a system with time lag. By using stability theory and LMI (Linear matrix inequality) technique, some meaningful results are put forward to obtain couple-group consensus of the heterogeneous MASs. In addition, these conclusions are also suitable for MASs whose switched topologies networks can’t meet the equilibrium of in-degree or can’t meet the requirements of any sub-topology with a spanning tree. In the end, some digital experiments are listed to prove the validity of the obtained achievements.