Group consensus in second-order multi-agent systems with nonlinear dynamics

Abstract

In this paper, group consensus of second-order multi-agent systems with nonlinear dynamics is investigated. First, we design the distributed protocols for achieving group consensus, in which the strengths of the interactions among the agents are enhanced through tuning the coupling strengths. Further, taking the difference of the edges among agents into account, edge-based distributed protocols through tuning coupling weights of a fraction of edges are designed. Remarkably, only the edges of spanning tree in each group are pinned and the coupling strengths or weights of pinned edges are enhanced according to the updated laws. Both the types of distributed protocols are proved analytically and verified by numerical illustrations.

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

“…In this paper, Markov switching, cooperative-competitive relation and time delay are all considered. Different from literature [11], [13], [52]- [57], our models are more related to real situations. For instance, the dynamics of agents are homogeneous in [11].…”

“…Different from literature [11], [13], [52]- [57], our models are more related to real situations. For instance, the dynamics of agents are homogeneous in [11]. In [13], the topology structure of MASs is supposed to be fixed.…”

“…In some extent, consensus or synchronization, is a special case of group consensus. In fact, group consensus is very common in real life [5][6][7][8][9][11][12]. Hence, it is important for us to investigate the group consensus of MASs.…”

“…Hence, it is important for us to investigate the group consensus of MASs. So far, a lot of meaningful achievements have been acquired for the group consensus of MASs [6][7][8][9][10][11][12]. In [6], pinning control is used to realize group tracking consensus of 2nd-order nonlinear MASs.…”

“…In [10], distributed PID controller is used to discuss the consensus of first-order MASs with time delay. In [11,12], group consensus of 2nd-order or even high-order MASs have been studied respectively. It worth pointing out that most of obtained results are needed to suppose the topologies of MASs are homogeneous.…”