Detectability of Delayed Boolean Control Networks Based on Full-Order Observer

被引：3
|
作者：
Li, Wenrong [1 ]
Dou, Wenhui [1 ]
Kong, Xiangshan [1 ]
Li, Haitao [1 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
来源：
IEEE ACCESS | 2021年 / 9卷
基金：
中国国家自然科学基金;
关键词：
Observers; Trajectory; Estimation; Delay effects; Nonlinear systems; Licenses; Input variables; Boolean control network; time delay; detectability; full-order observer; Boolean semi-tensor product; RECONSTRUCTIBILITY; OBSERVABILITY; STABILITY; CONTROLLABILITY; REACHABILITY; EQUATIONS; DESIGN;
D O I：
10.1109/ACCESS.2021.3108472
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 detectability of delayed Boolean control networks (DBCNs) via the Boolean semi-tensor product (BSTP) method. Firstly, three concepts of weak detectability, strong detectability, and detectability for DBCNs are proposed and the dynamics of DBCN are converted into an equivalent algebraic form. Secondly, a full-order observer of DBCNs is constructed to judge the detectabilities of DBCNs by using BSTP. Thirdly, based on the observer, some necessary and sufficient conditions of weak detectability, strong detectability, and detectability for DBCNs are presented. Finally, two examples are illustrated to verify the obtained results.
引用
收藏
页码：119591 / 119597
页数：7
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