Abstract
Group consensus is investigated for a class of discrete-time heterogeneous multi-agent systems which are composed of first-order and second-order agents with communication and input time delays in this paper. Based on the cooperative-competitive relationship between the agents in the system, a novel weighted group consensus protocol is proposed. Some sufficient conditions are given to guarantee the success of group consensus in some special situations by using z-transformation, matrix analysis and algebraic graph theory. The upper bound of time delays can be reckoned by utilizing Gershgorin disk theorem and generalized Nyquist’s criterion. The results show that group consensus has no relationship with communication time delay. Only if the input time delay, the coupling weight between the agents, and the system’s control parameters satisfy the given conditions, the multi-agent systems can realize group consensus. Some simulation results show that the proposed novel protocol can effectively promote the multi-agent systems to achieve weighted group consensus.
Highlights
In recent years, there has been an increasing interest in the study of consensus of multi-agent systems
The main contributions of this paper are as follows: Firstly, the weighted consensus of discrete-time heterogeneous multi-agent systems in the cooperative-competitive network with time delays is described in this paper, both the model and the weighted group consensus agreement are different from cooperative or competitive network
A class of weighted group consensus for discrete-time heterogeneous multi-agent systems in the cooperative-competitive network with time delays is proposed in this paper
Summary
There has been an increasing interest in the study of consensus of multi-agent systems. In [7], Li studied the output consensus problem for a class of non-linear networked multi-agent systems with switching topology and time-varying delays It worth pointing out, group consensus, as an extend problem of consensus, refers that the different subgroups of a complex system can reach different consensus states, and there is no consensus among any two subgroups. We mainly discuss the weighted group consensus for a kind of discrete-time heterogeneous multi-agent systems in the cooperative-competitive network with time delays. The main contributions of this paper are as follows: Firstly, the weighted consensus of discrete-time heterogeneous multi-agent systems in the cooperative-competitive network with time delays is described in this paper, both the model and the weighted group consensus agreement are different from cooperative or competitive network.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
