Incomplete Logical Control System and its Application to Some Intellectual Problems

doi:10.1002/asjc.1579

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 系统科学研究所

	Incomplete Logical Control System and its Application to Some Intellectual Problems
	Zhang, Xiao 1; Wang, Yuanhua 1; Cheng, Daizhan1,2
刊名	ASIAN JOURNAL OF CONTROL
	2018-03-01
卷号	20 期号:2 页码:697-706
关键词	Incomplete logical control system forbidden state wolf-sheep-cabbage puzzle missionaries-cannibals problem semi-tensor product of matrices
ISSN号	1561-8625
DOI	10.1002/asjc.1579
英文摘要	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.
资助项目	NNSF of China[61333001] ; NNSF of China[61273013]
WOS研究方向	Automation & Control Systems
语种	英语
出版者	WILEY
WOS记录号	WOS:000428351500008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/30117]
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.