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

被引：5
|
作者：
Kong, Xiangshan [1 ]
Li, Haitao [1 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2022年 / 53卷 / 14期
关键词：
Delayed probabilistic Boolean control network; sampled-data set stabilisation; state constraint; algebraic state space representation; STATE-FEEDBACK STABILIZATION; TRACKING CONTROL; CONTROL DESIGN; CONTROLLABILITY; OBSERVABILITY; STABILITY; SYNCHRONIZATION;
D O I：
10.1080/00207721.2022.2065706
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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.
引用
收藏
页码：2935 / 2947
页数：13
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