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Distributed robust stabilization of linear multi-agent systems with intermittent control. (English) Zbl 1395.93471
Summary: The distributed robust stabilization control problem of multi-agent systems with general linear dynamics is investigated in this paper. The topology of the network is directed and the dynamics of each agent are subject to unknown uncertainties. The control input of the root agent in a spanning tree can utilize its own absolute state intermittently and its neighbors’ relative states continuously, while only relative state feedback control inputs are implemented for other nodes. In order to stabilize the whole network, an algorithm to choose systems’ parameters is provided and the required length of the intermittent control intervals is also derived by using directed graph theory and Lyapunov stability analysis. Finally, a numerical example is simulated to verify the theoretical results.

##### MSC:
 93D09 Robust stability 93A14 Decentralized systems 68T42 Agent technology and artificial intelligence 93C15 Control/observation systems governed by ordinary differential equations 93C05 Linear systems in control theory 93C41 Control/observation systems with incomplete information 93B52 Feedback control 05C90 Applications of graph theory
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