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Reachability of higher-order logical control networks via matrix method

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  • Zou, Yunlei
  • Zhu, Jiandong

Abstract

This paper investigates the reachability of higher-order logical control networks. First, with semi-tensor product method, the matrix expression of a higher-order logical control network is given. Then, a partitioned matrix is constructed, which intuitively shows the input-state mapping information. With this matrix, some conditions are obtained for the reachability of higher-order logical control networks. Finally, an algorithm is designed to find control sequences that drive a given initial state to a given destination state.

Suggested Citation

  • Zou, Yunlei & Zhu, Jiandong, 2016. "Reachability of higher-order logical control networks via matrix method," Applied Mathematics and Computation, Elsevier, vol. 287, pages 50-59.
    • Handle: RePEc:eee:apmaco:v:287-288:y:2016:i::p:50-59
    DOI: 10.1016/j.amc.2016.04.013
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    References listed on IDEAS

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    1. Chen, Hongwei & Wu, Bo & Lu, Jianquan, 2016. "A minimum-time control for Boolean control networks with impulsive disturbances," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 477-483.
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    Cited by:

    1. Prokudin Georgii & Chupaylenko Alexey & Lebid Viktoriia & Khobotnia Tetiana, 2020. "Development of methods to increase the efficiency of road transportation by international transport corridors," Technology audit and production reserves, Socionet;Technology audit and production reserves, vol. 4(4(54)), pages 34-36.

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