The set stabilization problem for Markovian jump Boolean control networks: An average optimal control approach

Sanmei Zhu and Jun-e Feng

Applied Mathematics and Computation, 2021, vol. 402, issue C

Abstract: In this paper, the authors address the set stabilization problem for Markovian jump Boolean control networks (MJBCNs) by state feedback control. Based on the semi-tensor product, a necessary and sufficient condition for the set stabilization of MJBCNs is put forward via optimal control approach. Moreover, a policy iterative algorithm is deduced for designing the state feedback control. Finally, the proposed method and results are supported by the example of an apoptosis network.

Keywords: Boolean control networks; Markovian jump; Optimal control; Semi-tensor product; State feedback (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:402:y:2021:i:c:s0096300321001818

DOI: 10.1016/j.amc.2021.126133

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