Performance competition in cooperative capturing by multi-agent systems

In this paper, we deal with a problem to capture a target by linear multi-agent systems where the agents behave autonomously, whereas the target escapes with a reasonable strategy. We give necessary and sufficient conditions or sufficient conditions for the success of the capturing for several cases. The conditions clarify the performance competition between the target and the agents and we propose preferable strategy for the target and the agents, respectively. We consider the problem in the case of simple or general dynamics of the target and the agents. We also demonstrate the results by using numerical simulation.