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Partition-Based Solutions of Static Logical Networks With Applications
Qiao, Yupeng1; Qi, Hongsheng2,3; Cheng, Daizhan2
2018-04-01
Source PublicationIEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
ISSN2162-237X
Volume29Issue:4Pages:1252-1262
AbstractGiven 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.
KeywordDifference-algebraic network implicit function (IF) theorem partition-based solutions semitensor product (STP) of matrices static logical network
DOI10.1109/TNNLS.2017.2669972
Language英语
WOS Research AreaComputer Science ; Engineering
WOS SubjectComputer Science, Artificial Intelligence ; Computer Science, Hardware & Architecture ; Computer Science, Theory & Methods ; Engineering, Electrical & Electronic
WOS IDWOS:000427859600039
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/29734
Collection系统科学研究所
Affiliation1.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
Recommended Citation
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.
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