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Leader-following consensus of multi-agent systems with delayed impulsive control. (English) Zbl 1335.93013

Summary: This paper is concerned with the consensus of second-order multi-agent systems with a leader and switching topologies. A delayed impulsive consensus protocol is proposed, which only depends on the agent’s own information and its neighbour’s partial information. Based on a Lyapunov function approach, sufficient conditions for the convergence to consensus are established, which provides the appropriate impulsive delay interval on the admissible switching topology. Finally, numerical simulations are provided to illustrate the theoretical results.

MSC:

93A14 Decentralized systems
68T42 Agent technology and artificial intelligence
93C15 Control/observation systems governed by ordinary differential equations
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