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

共 50 条

[41] Minimal observability of switching Boolean networks
Sun, Yupeng
Fu, Shihua
Xia, Liyuan
Xu, Jiayi
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025, 48 (03) : 3291 - 3303
[42] Observability of Boolean Control Networks Using Parallel Extension and Set Reachability
Guo, Yuqian
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2018, 29 (12) : 6402 - 6408
[43] Controllability and stabilization of periodic switched Boolean control networks with application to asynchronous updating
Li, Yalu
Li, Haitao
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2021, 41
[44] Control of Switched Boolean Control Networks by State Feedback
Yerudkar, Amol
Del Vecchio, Carmen
Glielmo, Luigi
2019 18TH EUROPEAN CONTROL CONFERENCE (ECC), 2019, : 1999 - 2004
[45] Stabilisation and set stabilisation of periodic switched Boolean control networks
Wang, Jianjun
De Leone, Renato
Fu, Shihua
Xia, Jianwei
Qiao, Lishan
INTERNATIONAL JOURNAL OF CONTROL, 2023, 96 (03) : 699 - 710
[46] Set controllability for switched Boolean control networks
Zhang, Qiliang
Feng, Jun-e
Pan, Jinfeng
Xia, Jianwei
NEUROCOMPUTING, 2019, 359 : 476 - 482
[47] Observability Criteria for Boolean Networks
Yu, Yongyuan
Meng, Min
Feng, Jun-E
Chen, Ge
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (11) : 6248 - 6254
[48] Observability of probabilistic Boolean networks
Zhao Jing
Liu Zhenbin
2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 183 - 186
[49] Pinning Asymptotic Observability of Distributed Boolean Networks
Wang, Liqing
Wu, Zheng-Guang
Shen, Ying
Che, Wei-Wei
IEEE TRANSACTIONS ON CYBERNETICS, 2024, 54 (09) : 5360 - 5368
[50] Observability of Boolean control networks with stochastic disturbances
Tong, Liyun
Liang, Jinling
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2023, 360 (13): : 9560 - 9578

← 1 2 3 4 5 →