Static output feedback set stabilization for context-sensitive probabilistic Boolean control networks
| Autor: | Liyun Tong, Fuad E. Alsaadi, Jungang Lou, Yang Liu, Jianquan Lu |
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| Rok vydání: | 2018 |
| Předmět: |
Output feedback
0209 industrial biotechnology Computer science Applied Mathematics Control (management) Probabilistic logic Context (language use) 02 engineering and technology Set (abstract data type) Computational Mathematics 020901 industrial engineering & automation Control theory Product (mathematics) 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Algebraic number Invariant (mathematics) |
| Zdroj: | Applied Mathematics and Computation. 332:263-275 |
| ISSN: | 0096-3003 |
| DOI: | 10.1016/j.amc.2018.03.043 |
| Popis: | In this paper, we investigate the static output feedback set stabilization for context-sensitive probabilistic Boolean control networks (CS-PBCNs) via the semi-tensor product of matrices. An algorithm for finding the largest control invariant set with probability one is obtained by the algebraic representations of logical dynamics. Based on the analysis of the set stabilization, necessary and sufficient conditions for S-stabilization are obtained. Static output feedback controllers are designed to achieve S-stabilization for a CS-PBCN. At last, examples to study metastatic melanoma are given to show the effectiveness of our main results. |
| Databáze: | OpenAIRE |
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