Partition-Based Solutions of Static Logical Networks With Applications

doi:10.1109/TNNLS.2017.2669972

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	Partition-Based Solutions of Static Logical Networks With Applications
	Qiao, Yupeng 1; Qi, Hongsheng2,3 ; Cheng, Daizhan2
	2018-04-01
发表期刊	IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
ISSN	2162-237X
卷号	29 期号:4 页码:1252-1262
摘要	Given a static logical network, partition-based solutions are investigated. Easily verifiable necessary and sufficient conditions are obtained, and the corresponding formulas are presented to provide all types of the partition-based solutions. Then, the results are extended to mix-valued logical networks. Finally, two applications are presented: 1) an implicit function (IF) theorem of logical equations, which provides necessary and sufficient condition for the existence of IF and 2) converting the difference-algebraic network into a standard difference network.
关键词	Difference-algebraic network implicit function (IF) theorem partition-based solutions semitensor product (STP) of matrices static logical network
DOI	10.1109/TNNLS.2017.2669972
语种	英语
WOS研究方向	Computer Science ; Engineering
WOS类目	Computer Science, Artificial Intelligence ; Computer Science, Hardware & Architecture ; Computer Science, Theory & Methods ; Engineering, Electrical & Electronic
WOS记录号	WOS:000427859600039
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29734
专题	系统科学研究所
通讯作者	Qiao, Yupeng
作者单位	1.South China Univ Technol, Coll Automat Sci & Engn, Guangzhou 510640, Guangdong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Qiao, Yupeng,Qi, Hongsheng,Cheng, Daizhan. Partition-Based Solutions of Static Logical Networks With Applications[J]. IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,2018,29(4):1252-1262.
APA	Qiao, Yupeng,Qi, Hongsheng,&Cheng, Daizhan.(2018).Partition-Based Solutions of Static Logical Networks With Applications.IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS,29(4),1252-1262.
MLA	Qiao, Yupeng,et al."Partition-Based Solutions of Static Logical Networks With Applications".IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS 29.4(2018):1252-1262.