Abstract

Abstract In this paper, we consider data-sampling controllability of multi-agent systems (MASs), where the interconnection topology is directed and weighted and the nodes have generic linear kinetic dynamics. First, the asynchronous data sampling protocols and synchronous data sampling protocols are proposed, respectively. Then the discussions focus on deriving the necessary and sufficient conditions for data-sampling controllability of MASs with a single leader and multiple leaders. The criteria for data-sampling controllability are derived in terms of recursions of matrix multiplication. For the single-leader situation, the asynchronous data-sampling controllability is equivalently transformed to be the output controllability of a discrete linear system. For the multiple-leader situation, the asynchronous data-sampling controllability is equivalently transformed to be the output controllability of a discrete time-delayed linear system. Finally, the synchronous data-sampling controllability is discussed as a special case of asynchronous data-sampling controllability. Two numerical examples are given to illustrate the effectiveness of the theoretical results.

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