Prespecified-Time Bipartite Consensus of Multi-Agent Systems via Intermittent Control

This paper deals with prespecified-time bipartite consensus (PTBC) for leaderless and leader-following multi-agent systems (MASs) via intermittent control. A unified framework for realizing prespecified-time (PT) intermittent control is developed and analyzed theoretically. On the basis of the communication network with cooperative-competitive interaction, both PTBC of leaderless MAS and leader-following MAS are considered. And the distributed controllers rather than the centralized controllers are designed to realize PTBC of the corresponding controlled systems respectively. Further, it is shown that the designed controller is uniformly bounded even though the time-varying feedback gain in the designed controller tends to infinity as time tends to the settling time. Finally, some numerical examples on actual circuit systems are represented to substantiate the validity and application of our theoretical results.