A new approach to average consensus problems with multiple time-delays and jointly-connected topologies |
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| Authors: | Peng Lin Kaiyu Qin Hongmei Zhao Man Sun |
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| Institution: | 1. School of Automation and Electrical Engineering, Qingdao University, Qingdao 266071, PR China;2. The Seventh Research Division, Beihang University (BUAA), Beijing 100191, PR China;3. School of Computer Science and Technology, Beijing University of Posts and Telecommunication, Beijing 100191, PR China |
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| Abstract: | 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 the 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 (LMIs) 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. |
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