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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. Cai, Ning, 2017. "On quantitatively measuring controllability of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 474(C), pages 282-292.
    2. 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).

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