State feedback stabilization of generic logic systems via Ledley antecedence solution
文献类型：期刊论文
| 作者 | Jia, Yingzhe2; Cheng, Daizhan1; Feng, Jun-e2 |
| 刊名 | MATHEMATICAL METHODS IN THE APPLIED SCIENCES
 |
| 出版日期 | 2021-06-11 |
| 页码 | 11 |
| 关键词 | Boolean control networks Ledley antecedence solutions state feedback stabilization semitensor product |
| ISSN号 | 0170-4214 |
| DOI | 10.1002/mma.7554 |
| 英文摘要 | 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. |
| 资助项目 | National Natural Science Foundation of China[61733018] ; National Natural Science Foundation of China[61773371] ; National Natural Science Foundation of China[61877036] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000660025100001 |
| 出版者 | WILEY |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58809]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Feng, Jun-e |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing, Peoples R China 2.Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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