Abstract

AbstractThis paper studies the controllability of two-time-scale continuous-time multi-agent systems with switching topology. The definition of controllability of continuous-time leader-follower multi-agent systems with two-time-scale feature connected by switching topology is proposed for the first time. To avoid the ill-posed problem caused by the singular perturbation parameter, firstly, the singular perturbation method based on iterative approximation is used to decompose the two-time-scale multi-agent systems into fast-time-scale and slow-time-scale subsystems. Then, according to the concepts of invariant subspace and controllable state set, a criterion of controllability is given. Finally, the simulation is used to illustrate the correctness of the theoretical results.KeywordsMulti-agent systemsControllabilityTwo-time-scaleSwitching topology

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