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Containment problem of finite-field networks with fixed and switching topology

Author

Listed:
  • Liu, Yansheng
  • Song, Mengjin
  • Li, Haitao
  • Li, Yalu
  • Hou, Wenying

Abstract

The containment problem of finite-field networks (FFNs) with fixed topology (FT-FFNs) and switching topology (ST-FFNs) is studied. Firstly, the concept of containment for FFNs is proposed. Secondly, by semi-tensor product (STP) of matrices, the logical updating rule of FFNs with multiple leaders can be equivalently converted into an algebraic form. Thirdly, the containment problem is converted into the problem of set stability, and an easily verifiable necessary and sufficient condition is presented to achieve containment. In addition, the obtained results are applied to the containment problem of ST-FFNs. Finally, two examples support the effectiveness of the main results.

Suggested Citation

  • Liu, Yansheng & Song, Mengjin & Li, Haitao & Li, Yalu & Hou, Wenying, 2021. "Containment problem of finite-field networks with fixed and switching topology," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    • Handle: RePEc:eee:apmaco:v:411:y:2021:i:c:s0096300321006081
    DOI: 10.1016/j.amc.2021.126519
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    References listed on IDEAS

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    1. Haitao Li & Xueying Ding & Qiqi Yang & Yingrui Zhou, 2018. "Algebraic Formulation and Nash Equilibrium of Competitive Diffusion Games," Dynamic Games and Applications, Springer, vol. 8(2), pages 423-433, June.
    2. Li, Haitao & Xu, Xiaojing & Ding, Xueying, 2019. "Finite-time stability analysis of stochastic switched boolean networks with impulsive effect," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 557-565.
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    Cited by:

    1. Wang, Yu & Yang, Yujing & Liu, Yang & Lou, Jungang, 2022. "Fault detection and pinning control of Boolean networks," Applied Mathematics and Computation, Elsevier, vol. 429(C).

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