KMS Of Academy of mathematics and systems sciences, CAS
| State feedback stabilization of generic logic systems via Ledley antecedence solution | |
| Jia, Yingzhe1; Cheng, Daizhan2; Feng, Jun-e1 | |
| 2021-06-11 | |
| Source Publication | MATHEMATICAL METHODS IN THE APPLIED SCIENCES
 |
| ISSN | 0170-4214 |
| Pages | 11 |
| Abstract | In this paper, the application of Ledley antecedence solutions in designing state feedback stabilizers of generic logic systems has been proposed. To make the method feasible, two modifications are made to the original Ledley antecedence solution theory: (i) the preassigned logical functions have been extended from being a set of equations to an admissible set; (ii) the domain of arguments has been extended from the whole state space to a restricted subset. In the proposed method, state feedback controls are considered as a set of extended Ledley antecedence solutions for a designed iterative admissible sets over their corresponding restricted subsets. Based on this, an algorithm has been proposed to verify the solvability and simultaneously provide all possible time-optimal state feedback stabilizers when the problem is solvable. Demonstrations of the proposed method on both the Boolean control networks and mix-valued logical systems have validated the effectiveness of the proposed method in stabilizing logic systems in general. |
| Keyword | Boolean control networks Ledley antecedence solutions state feedback stabilization semitensor product |
| DOI | 10.1002/mma.7554 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[61733018] ; National Natural Science Foundation of China[61773371] ; National Natural Science Foundation of China[61877036] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000660025100001 |
| Publisher | WILEY |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58810 |
| Collection | 中国科学院数学与系统科学研究院 |
| Corresponding Author | Feng, Jun-e |
| Affiliation | 1.Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing, Peoples R China |
| Recommended Citation GB/T 7714 | Jia, Yingzhe,Cheng, Daizhan,Feng, Jun-e. State feedback stabilization of generic logic systems via Ledley antecedence solution[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2021:11. |
| APA | Jia, Yingzhe,Cheng, Daizhan,&Feng, Jun-e.(2021).State feedback stabilization of generic logic systems via Ledley antecedence solution.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,11. |
| MLA | Jia, Yingzhe,et al."State feedback stabilization of generic logic systems via Ledley antecedence solution".MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2021):11. |
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