Finite-time sampled-data set stabilisation of delayed probabilistic Boolean control networks

Xiangshan Kong and Haitao Li

International Journal of Systems Science, 2022, vol. 53, issue 14, 2935-2947

Abstract: In this paper, the finite-time constrained set stabilisation of delayed probabilistic Boolean control networks (DPBCNs) is considered via sampled-data control (SDC). The main mathematical tool is semi-tensor product of matrices, which is used to convert the dynamics of DPBCNs into an equivalent algebraic state space representation (ASSR). Based on the ASSR of DPBCNs, the constrained sampled-data transition probability matrix is constructed. Then, new criteria are proposed for the finite-time constrained reachability of DPBCNs under uniform SDC. By virtue of finite-time constrained reachability, a procedure is established to design state feedback sampled-data stabilisers for DPBCNs. The obtained results are applied to the ‘minimal’ model of lactose operon in E. coli.

Date: 2022
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DOI: 10.1080/00207721.2022.2065706

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