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Almost decouplability of any directed weighted network topology

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  • Cai, Ning
  • Cao, Jun-Wei
  • Khan, M. Junaid

Abstract

This paper introduces a conception that any weighted directed network topology is almost decouplable, which can help to transform the topology into a similar form composed of uncoupled vertices, and thus reduce the complexity of analysis for networked dynamical systems. As an example of its application, the consensus problem of linear multi-agent systems with time-varying network topologies is addressed. As a result, a necessary and sufficient condition for uniform consensus is proposed.

Suggested Citation

  • Cai, Ning & Cao, Jun-Wei & Khan, M. Junaid, 2015. "Almost decouplability of any directed weighted network topology," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 637-645.
    • Handle: RePEc:eee:phsmap:v:436:y:2015:i:c:p:637-645
    DOI: 10.1016/j.physa.2015.05.004
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    References listed on IDEAS

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    1. Xi, Jianxiang & Shi, Zongying & Zhong, Yisheng, 2011. "Consensus analysis and design for high-order linear swarm systems with time-varying delays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4114-4123.
    2. Zhengzhong Yuan & Chen Zhao & Zengru Di & Wen-Xu Wang & Ying-Cheng Lai, 2013. "Exact controllability of complex networks," Nature Communications, Nature, vol. 4(1), pages 1-9, December.
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    Cited by:

    1. Wang, Di & Zhang, Zhiyuan & Yang, Xiaodi & Zhang, Yanfang & Li, Yuman & Zhao, Yueying, 2021. "Multi-scenario simulation on the impact of China's electricity bidding policy based on complex networks model," Energy Policy, Elsevier, vol. 158(C).
    2. Cai, Ning, 2017. "On quantitatively measuring controllability of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 282-292.

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