Consensus of multi-agent systems with dead-zone nonlinearity

In this paper, we investigate the consensus problem of multi-agent systems with dead-zone nonlinearity over undirected networks. Firstly, a control protocol is designed based on the local information of agents. Then by LaSalle’s invariance principle for non-smooth systems, we prove that if the undirected graph is connected then the consensus is achieved by the proposed control protocol. Secondly, sufficient conditions are given to guarantee the consensus of multi-agent systems with deadzone nonlinearity and switching topologies by Lyapunov method. Finally, numerical simulations show the effectiveness of our theoretical results.

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