Set Stabilization of Boolean Control Networks via Output-Feedback Controllers

In this article, the set stabilization problem of Boolean control networks (BCNs) using output-feedback controllers is investigated comprehensively. First, a novel method for stabilizing BCNs, namely, the state dynamics matrix-based method, is proposed. Then, based on the above method, the time-inva...

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Bibliographic Details
Published inIEEE transactions on systems, man, and cybernetics. Systems Vol. 52; no. 12; pp. 7527 - 7536
Main Authors Jia, Yingzhe, Wang, Biao, Feng, Jun-e, Cheng, Daizhan
Format Journal Article
LanguageEnglish
Published New York IEEE 01.12.2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Algorithms
Boolean control network (BCN)
Control systems
Feedback control
Heuristic algorithms
Linear systems
Matrix converters
Matrix decomposition
Nonlinear systems
Output feedback
output-feedback stabilization
semitensor product of matrices
Stability criteria
Stabilization
Switches
time-varying set stabilizers
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Summary:In this article, the set stabilization problem of Boolean control networks (BCNs) using output-feedback controllers is investigated comprehensively. First, a novel method for stabilizing BCNs, namely, the state dynamics matrix-based method, is proposed. Then, based on the above method, the time-invariant output-feedback (TIOF) and the time-variant output-feedback (TVOF) laws are derived. The necessary and sufficient conditions of both TIOF and TVOF stabilization of BCNs are also given. In addition, corresponding algorithms are provided such that all possible TIOF stabilizers and TVOF stabilizers for given BCNs can be designed. Finally, some illustrative examples are demonstrated, where the results are discussed and the effectiveness of the presented method is validated.
ISSN:2168-2216
2168-2232
DOI:10.1109/TSMC.2022.3158964