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Disturbance decoupling of Boolean networks via robust indistinguishability method

Author

Listed:
  • Zhao, Rong
  • Feng, Jun-e
  • Wang, Biao
  • De Leone, Renato

Abstract

Disturbances are ubiquitous and affect the normal operation of systems. This paper investigates the disturbance decoupling problem of Boolean networks (BNs) and Boolean control networks (BCNs) by a robust indistinguishability method. Utilizing a new method based on the reduced state transition matrix, the relationship between three types of disturbance decoupling and robust indistinguishability is revealed, which also builds a link between robust observability and disturbance decoupling. Based on a parameter extraction mapping, several feasible criteria are presented for original and weak disturbance decoupling of BNs and BCNs. Additionally, our approach is more concise and has a lower computational complexity than the existing methods. Finally, two examples are presented to illustrate the effectiveness of the theoretical results.

Suggested Citation

  • Zhao, Rong & Feng, Jun-e & Wang, Biao & De Leone, Renato, 2023. "Disturbance decoupling of Boolean networks via robust indistinguishability method," Applied Mathematics and Computation, Elsevier, vol. 457(C).
    • Handle: RePEc:eee:apmaco:v:457:y:2023:i:c:s0096300323003892
    DOI: 10.1016/j.amc.2023.128220
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    Cited by:

    1. Liu, Aixin & Li, Haitao & Wang, Lin, 2024. "Exploring multi-potential games in strategic form: A graph theoretic approach," Applied Mathematics and Computation, Elsevier, vol. 474(C).

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