Distributed Saturated Impulsive Quasi-Consensus for Leader-Follower Multi-Agent Systems: An Open Topology Framework

Dear Editor, This letter studies a real-world issue in leader-follower multi-agent systems (MASs) named open topology, which permits the variations of agent set and network connections. Specially, a novel transition process is developed to explain how the involved variation of network scale affects the dynamic behavior of the MASs. From a resource limited perspective, the distributed saturated impulsive control is then designed, under which some sufficient criteria are integrated into local quasi-consensus performance. We also provide a combined optimization algorithm for all agents to make the estimated domain of initial errors closer to the real one, thereby resulting in less conservativeness. Finally, a numerical example validates our results.