Observability of Periodically Switched Boolean Control Networks

被引：0

作者：

Jiang, Chunfeng ^{[1
]}

Wang, Biao ^{[2
]}

Fu, Shihua ^{[3
]}

Zhao, Jianli ^{[3
]}

Sun, Min ^{[4
]}

机构：

[1] Univ Sannio, Dept Engn, I-82100 Benevento, Italy

[2] Shandong Univ, Sch Management, Jinan 250100, Peoples R China

[3] Liaocheng Univ, Sch Math Sci, Liaocheng 252000, Peoples R China

[4] Zaozhuang Univ, Sch Math & Stat, Zaozhuang 277160, Peoples R China

来源：

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY | 2023年 / 36卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Boolean control networks; observability; periodically switched systems; semi-tensor product; state constraints; CONTROLLABILITY; STABILIZATION; PERTURBATION; REACHABILITY; STABILITY; DYNAMICS; SET;

D O I：

10.1007/s11424-023-1162-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, observability is studied for periodically switched Boolean control networks (PSBCNs), which are managed with periodic switching signal and consist of some Boolean control networks. Firstly, via semi-tensor product of matrices, PSBCNs are expressed as algebraic forms. Secondly, a parallel system is constructed by combining two same PSBCNs, based on which, the observability problem of the original PSBCN can be transformed into the set reachability problem of this parallel system. Then, two necessary and sufficient conditions are obtained to detect reachability of parallel systems and observability of PSBCNs. In addition, the proposed conditions are extended to the case of state constraints. Finally, a practical example and a numerical example are provided to illustrate the results.

引用

页码：985 / 1001

页数：17

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