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Constrained set controllability of logical control networks with state constraints and its applications

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  • Li, Yalu
  • Li, Haitao
  • Li, Yuanyuan

Abstract

State constraints are very common in actual networked systems. The main purpose of this article is to investigate the constrained set controllability of k-valued logical control networks (KVLCNs), the states of which are within a finite set. At first, the dynamics of KVLCNs with state constraints (SC-KVLCNs) can be equivalently written as an bilinear system by applying algebraic state space representation approach. After that, a method is presented to construct a kind of constrained set controllability matrix, based on which, a criterion is put forward to solve the constrained set controllability problem of KVLCNs. In addition, the constrained set controllability is applied to the partial stabilization, output tracking, output synchronization and observability of SC-KVLCNs. Finally, to implement the main results of this article, three examples are given.

Suggested Citation

  • Li, Yalu & Li, Haitao & Li, Yuanyuan, 2021. "Constrained set controllability of logical control networks with state constraints and its applications," Applied Mathematics and Computation, Elsevier, vol. 405(C).
    • Handle: RePEc:eee:apmaco:v:405:y:2021:i:c:s0096300321003489
    DOI: 10.1016/j.amc.2021.126259
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    References listed on IDEAS

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    5. Zhao, Nan-Nan & Wu, Li-Bing & Ouyang, Xin-Yu & Yan, Yan & Zhang, Rui-Yan, 2019. "Finite-time adaptive fuzzy tracking control for nonlinear systems with disturbances and dead-zone nonlinearities," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
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    Cited by:

    1. Wen Liu & Shihua Fu & Jianli Zhao, 2021. "Set Stability and Set Stabilization of Boolean Control Networks Avoiding Undesirable Set," Mathematics, MDPI, vol. 9(22), pages 1-20, November.
    2. 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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