Controllability and stabilization of periodic switched Boolean control networks with application to asynchronous updating

被引：20
作者：
Li, Yalu [1 ]
Li, Haitao [1 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2021年 / 41卷
基金：
中国国家自然科学基金;
关键词：
Boolean control networks; Periodic switching; Asynchronous updating; Controllability; Stabilization; Algebraic state space representation; OUTPUT-FEEDBACK STABILIZATION; NONLINEAR-SYSTEMS; CONTROL DESIGN; STABILITY; TIME; OBSERVABILITY;
D O I：
10.1016/j.nahs.2021.101054
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 investigates the periodic switching point controllability and stabilization of periodic switched Boolean control networks (PSBCNs), and applies the obtained results to the stabilization of deterministic asynchronous Boolean control networks (DABCNs). Firstly, using the algebraic state space representation of PSBCNs, a kind of periodic switching point controllability matrix is constructed, based on which, a necessary and sufficient condition is presented for the periodic switching point reachability and controllability of PSBCNs. Secondly, using the reachable set of PSBCNs, a constructive procedure is proposed to design time-variant state feedback controllers for the periodic switching point stabilization of PSBCNs. Finally, by converting the dynamics of DABCNs into the form of PSBCNs, the time-variant state feedback stabilization problem of DABCNs is solved. (C) 2021 Elsevier Ltd. All rights reserved.
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页数：15
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