State feedback stabilization of generic logic systems via Ledley antecedence solution

doi:10.1002/mma.7554

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	State feedback stabilization of generic logic systems via Ledley antecedence solution
	Jia, Yingzhe 1; Cheng, Daizhan 2; Feng, Jun-e 1
	2021-06-11
发表期刊	MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN	0170-4214
页码	11
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.
关键词	Boolean control networks Ledley antecedence solutions state feedback stabilization semitensor product
DOI	10.1002/mma.7554
收录类别	SCI
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000660025100001
出版者	WILEY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58810
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.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
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.