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In leader-follower multi-agent networks with switching topologies, choosing asubset of agents as leaders is a critical step to achieve desired performances.In this paper, we concentrate on the problem of selecting a minimum-size set ofleaders that ensure the tracking of a reference signal in a highorder linearmulti-agent network with a set of given topology dependent dwell time (TDDT).First, we derive a sufficient condition that guarantees the states of allagents converging to an expected state trajectory. Second, by exploitingsubmodular optimization method, we formulate the problem of identifying aminimal leader set which satisfies the proposed sufficient condition. Third, wepresent an algorithm with the provable optimality bound to solve the formulatedproblem. Finally, several numerical examples are provided to verify theeffectiveness of the designed selection scheme.

Leader Selection in Multi-Agent Networks with Switching Topologies via Submodular Optimization