Abstract
This paper investigates the asynchronous consensus problem of linear multi-agent systems (MASs) with fixed and switching communication topologies. The proposed impulsive control approach does not need the impulse to occur simultaneously for all agents. Some sufficient conditions on asynchronous consensus are presented. The obtained results show that the consensus of MASs can be achieved exponentially by designing some control gain and impulsive sequence when the dynamic of each agent is unstable and the consensus of MASs is robust against certain impulsive permutation when the dynamic of each agent is stable. Finally, two numerical examples are provided to illustrate the effectiveness of the obtained theoretical results.
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