Incomplete Logical Control System and its Application to Some Intellectual Problems

doi:10.1002/asjc.1579

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	Incomplete Logical Control System and its Application to Some Intellectual Problems
	Zhang, Xiao 1; Wang, Yuanhua 1; Cheng, Daizhan1,2
	2018-03-01
发表期刊	ASIAN JOURNAL OF CONTROL
ISSN	1561-8625
卷号	20 期号:2 页码:697-706
摘要	The 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.
关键词	Incomplete logical control system forbidden state wolf-sheep-cabbage puzzle missionaries-cannibals problem semi-tensor product of matrices
DOI	10.1002/asjc.1579
语种	英语
资助项目	NNSF of China[61333001] ; NNSF of China[61273013]
WOS研究方向	Automation & Control Systems
WOS类目	Automation & Control Systems
WOS记录号	WOS:000428351500008
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/30118
专题	系统科学研究所
通讯作者	Cheng, Daizhan
作者单位	1.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
推荐引用方式 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.