Consensus of Hybrid Switched Multi-Agent Systems Under Different Topologies Via Impulsive Control

The consensus problem is studied in this paper for a class of hybrid switched multi-agent systems (HSMASs) consisted of continuous-time (CT) and discrete-time (DT) subsystems via impulsive control. Due to the complex dynamic characteristics of the system, how to deal with the connection between subsystems at each switching instant is one of the confronted difficulties. Based on the Lyapunov theory, some sufficient consensus criteria are derived under arbitrary switching signals, and we show that the consensus of HSMASs can be achieved with undirected, directed, and switching connected communication networks, respectively. Furthermore, relations between impulsive and sampling instants are discussed, including overlap, stagger, and incomplete overlap. Finally, two numerical examples are presented to illustrate the effectiveness of the main results.