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Open Access

Consensus of Second-Order Multi-Agent Systems with Time-Varying Delays and Antagonistic Interactions

Bo Hou, Fuchun Sun, Hongbo Li( ), Guangbin Liu
State Key Laboratory on Intelligent Technology and Systems, Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China.
High-Tech Institute of Xi’an, Xi’an 710025, China
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Abstract

This study investigates the consensus problem of second-order multi-agent systems subject to time-varying interval-like delays. The notion of consensus is extended to networks containing antagonistic interactions modeled by negative weights on the communication graph. A unified framework is established to address both the stationary and dynamic consensus issues in sampled-data settings. Using the reciprocally convex approach, a sufficient condition for consensus is derived in terms of matrix inequalities. Numerical examples are provided to illustrate the effectiveness of the proposed result.

Keywords

multi-agent systemssecond-orderconsensuscooperation and competition

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Tsinghua Science and Technology
Volume 20 Issue 2,
April 2015
Pages 205-211
DOI: 10.1109/TST.2015.7085634
Cite this article:
Hou B, Sun F, Li H, et al. Consensus of Second-Order Multi-Agent Systems with Time-Varying Delays and Antagonistic Interactions. Tsinghua Science and Technology, 2015, 20(2): 205-211. https://doi.org/10.1109/TST.2015.7085634

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Received: 25 November 2014
Revised: 05 January 2015
Accepted: 25 January 2015
Published: 23 April 2015
© The author(s) 2015
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