Set stabilizability of switched Boolean control networks via Ledley antecedence solution

被引：3
|
作者：
Sun, Qilong [1 ]
Li, Haitao [1 ]
Wang, Yuanhua [2 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
[2] Shandong Normal Univ, Inst Dynam & Control Sci, Jinan 250014, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2023年 / 48卷
基金：
中国国家自然科学基金;
关键词：
Switched Boolean control network; Set stabilizability; Ledley antecedence solution; Truth matrix; Semi -tensor product of matrices; STABILIZATION; STABILITY; CONTROLLABILITY; LOGIC;
D O I：
10.1016/j.nahs.2022.101320
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper studies two kinds of set stabilizability issues of switched Boolean control net-works (SBCNs) by Ledley antecedence solution, that is, pointwise set stabilizability and set stabilizability under arbitrary switching signals. Firstly, based on the state transition matrix of SBCNs, the mode-dependent truth matrix is defined. Secondly, using the mode -dependent truth matrix in every step, a switching signal and the corresponding Ledley antecedence solutions are determined. Furthermore, a state feedback switching signal and a state feedback control are obtained for the pointwise set stabilizability. Thirdly, with the help of all mode-dependent truth matrices, the Ledley antecedence solutions are derived for a set of Boolean inclusions, which admits a state feedback control for the set stabilizability under arbitrary switching signals. Finally, an example is given to show the effectiveness of the proposed results. (c) 2022 Elsevier Ltd. All rights reserved.
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页数：16
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