Letters: Consensus of second-order multi-agent systems with nonuniform time-varying delays

Authors:
Zhao-Jun Tang;Ting-Zhu Huang;Jin-Liang Shao;Jiang-Ping Hu
Affiliations:
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China and School of Science, Chongqing Jiaotong University, Chongqing 400074, China;School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China;School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, China;School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, China
Venue:
Neurocomputing
Year:
2012

Citing 8
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Average consensus problems in networks of agents with delayed communications

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Coordination and Consensus of Networked Agents with Noisy Measurements: Stochastic Algorithms and Asymptotic Behavior

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Brief paper: Leader-following consensus of second-order agents with multiple time-varying delays

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Brief paper: Multi-agent consensus with diverse time-delays and jointly-connected topologies

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Tracking control for multi-agent consensus with an active leader and variable topology

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Abstract

This paper is concerned with the consensus problem in directed networks with double-integrator dynamics and non-uniform time-varying communication delays. With the help of Lyapunov-Razumikhin function a necessary and sufficient condition is presented in the case when the delays are non-uniform and time-varying. Simulation results are provided to illustrate the theoretical results.