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Robust Controllability and Observability of Boolean Control Networks under Different Disturbances

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  • Yuanhua Wang
  • Xiao Zhang
  • Yaqi Hao

Abstract

This paper investigates robust controllability and observability of Boolean control networks under disturbances. Firstly, under unobservable disturbances, some sufficient conditions are obtained for robust controllability of BCNs. Then an algorithm is proposed to construct the least control sequences which drive the trajectory from a state to a given reachable state. If the disturbances are observable, by defining the order-preserving system, an efficient sufficient condition is obtained for robust controllability of BCNs. Finally, the robust observability problem is converted into an equivalent robust controllability via set controllability and is solved by using the results obtained for set controllability. Some numerical examples are presented to illustrate the obtained results.

Suggested Citation

  • Yuanhua Wang & Xiao Zhang & Yaqi Hao, 2019. "Robust Controllability and Observability of Boolean Control Networks under Different Disturbances," Mathematical Problems in Engineering, Hindawi, vol. 2019, pages 1-9, January.
    • Handle: RePEc:hin:jnlmpe:1813594
    DOI: 10.1155/2019/1813594
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