Observability of Periodically Switched Boolean Control Networks

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 paral...

Full description

Saved in:
Bibliographic Details
Published inJournal of systems science and complexity Vol. 36; no. 3; pp. 985 - 1001
Main Authors Jiang, Chunfeng, Wang, Biao, Fu, Shihua, Zhao, Jianli, Sun, Min
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2023
Springer Nature B.V
Subjects
Complex Systems
Control
Mathematics
Mathematics and Statistics
Mathematics of Computing
Networks
Operations Research/Decision Theory
Statistics
Systems Theory
Tensors
periodically switched systems
state constraints
observability
Boolean control networks
semi-tensor product
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1009-6124
1559-7067
DOI:10.1007/s11424-023-1162-8