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A new approach to average consensus problems with multiple time-delays and jointly-connected topologies. (English) Zbl 1254.93009
Summary: This paper investigates average consensus problem in networks of continuous-time agents with delayed information and jointly-connected topologies. A lemma is derived by extending Barbalat’s Lemma to piecewise continuous functions, which provides a new analysis approach for switched systems. Then based on this lemma, a sufficient condition in terms of linear matrix inequalities is given for average consensus of the system by employing a Lyapunov approach, where the communication structures vary over time and the corresponding graphs may not be connected. Finally, simulation results are provided to demonstrate the effectiveness of our theoretical results.

MSC:
93A14 Decentralized systems
93C15 Control/observation systems governed by ordinary differential equations
94C15 Applications of graph theory to circuits and networks
68T42 Agent technology and artificial intelligence
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