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Containment control of continuous-time linear multi-agent systems with aperiodic sampling. (English) Zbl 1330.93113
Summary: In this paper, the containment control problem of continuous-time linear multi-agent systems is investigated. An aperiodic sampled-data based protocol is induced by using neighboring information with uncertainly time-varying sampling intervals. By utilizing the proposed protocol and properties of Laplacian matrix, the containment control problem of continuous-time linear multi-agent systems is equivalently transformed into a stability problem of discrete-time linear systems. The stability analysis is based on the robustness of related discrete-time systems against perturbation caused by the variation of sampling intervals. By using small-gain theorem, sufficient conditions are obtained to guarantee the stability of uncertain discrete-time systems. Furthermore, two special cases are given to illustrate the method proposed in this paper. The theoretical results are verified by some simulations.

MSC:
93C05 Linear systems in control theory
68T42 Agent technology and artificial intelligence
93C57 Sampled-data control/observation systems
93B17 Transformations
93C55 Discrete-time control/observation systems
93D09 Robust stability
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