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Incomplete Logical Control System and its Application to Some Intellectual Problems
Zhang, Xiao1; Wang, Yuanhua1; Cheng, Daizhan1,2
2018-03-01
Source PublicationASIAN JOURNAL OF CONTROL
ISSN1561-8625
Volume20Issue:2Pages:697-706
AbstractThe wolf-sheep-cabbage puzzle and the missionaries-cannibals problem are two classical intellectual problems, and various methods have been developed to solve them. This paper proposes a new logical control system (LCS), called the incomplete LCS, which allows controls to apply to certain particular states. Using semi-tensor product (STP) of matrices, the incomplete LCS can be expressed into its algebraic form, and then the controls are designed to reach our goal. Using algebraic state space technique, the two intellectual problems are converted to controllability of incomplete LCSs with restricted state space. Then the solvability and related algorithms are developed.
KeywordIncomplete logical control system forbidden state wolf-sheep-cabbage puzzle missionaries-cannibals problem semi-tensor product of matrices
DOI10.1002/asjc.1579
Language英语
Funding ProjectNNSF of China[61333001] ; NNSF of China[61273013]
WOS Research AreaAutomation & Control Systems
WOS SubjectAutomation & Control Systems
WOS IDWOS:000428351500008
PublisherWILEY
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30118
Collection系统科学研究所
Affiliation1.Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Shandong, Peoples R China
2.Chinese Acad Sci, Inst Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Zhang, Xiao,Wang, Yuanhua,Cheng, Daizhan. Incomplete Logical Control System and its Application to Some Intellectual Problems[J]. ASIAN JOURNAL OF CONTROL,2018,20(2):697-706.
APA Zhang, Xiao,Wang, Yuanhua,&Cheng, Daizhan.(2018).Incomplete Logical Control System and its Application to Some Intellectual Problems.ASIAN JOURNAL OF CONTROL,20(2),697-706.
MLA Zhang, Xiao,et al."Incomplete Logical Control System and its Application to Some Intellectual Problems".ASIAN JOURNAL OF CONTROL 20.2(2018):697-706.
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