Containment Control of Semi-Markovian Multiagent Systems With Switching Topologies

This article is concerned with the problem of the containment control with respect to continuous-time semi-Markovian multiagent systems with semi-Markovian switching topologies. Two kinds of classical control schemes, which are dynamic containment control and static containment control schemes, are utilized to address the proposed synthesis problem. Based on the linear matrix inequality (LMI) method, the dynamic containment controller and static containment controller are designed to plunge into the studied semi-Markovian multiagent systems, respectively. Moreover, the random switching topologies with the semi-Markovian process, the partly unknown transition rates, and the generally uncertain transition rates are taken into account, which can be applicable to more practical situations. Finally, the simulation results are provided to illustrate the effectiveness of the proposed theoretical results.

Automated summary

This article addresses the issue of containment control in continuous-time semi-Markovian multiagent systems with semi-Markovian switching topologies. Two classic control schemes are utilized, dynamic and static containment control, with controllers designed using the LMI method. Consideration is given to random switching topologies, partly unknown transition rates, and generally uncertain transition rates, making the results applicable to practical situations. Simulation results are provided to demonstrate the effectiveness of the proposed theoretical approach.