Optimal Control of Logical Control Networks

doi:10.1109/TAC.2010.2092290

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	Optimal Control of Logical Control Networks
	Zhao, Yin; Li, Zhiqiang; Cheng, Daizhan
	2011-08-01
发表期刊	IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN	0018-9286
卷号	56 期号:8 页码:1766-1776
摘要	This paper considers the infinite horizon optimal control of logical control networks, including Boolean control networks as a special case. Using the framework of game theory, the optimal control problem is formulated. In the sight of the algebraic form of a logical control network, its cycles can be calculated algebraically. Then the optimal control is revealed over a certain cycle. When the games, using memory mu > 1 (which means the players only consider previous mu steps' action at each step), are considered, the higher order logical control network is introduced and its algebraic form is also presented, which corresponds to a conventional logical control network (i.e., mu = 1). Then it is proved that the optimization technique developed for conventional logical control networks is also applicable to this mu-memory case.
关键词	Boolean network cycle higher order logical control network logical control network optimal control
DOI	10.1109/TAC.2010.2092290
语种	英语
资助项目	National Natural Science Foundation of China[NNSF 60674022] ; National Natural Science Foundation of China[60736022] ; National Natural Science Foundation of China[60221301] ; National Natural Science Foundation of China[61074114]
WOS研究方向	Automation & Control Systems ; Engineering
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000293750600002
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/12201
专题	系统科学研究所
通讯作者	Zhao, Yin
作者单位	Chinese Acad Sci, Key Lab Syst & Control, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhao, Yin,Li, Zhiqiang,Cheng, Daizhan. Optimal Control of Logical Control Networks[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2011,56(8):1766-1776.
APA	Zhao, Yin,Li, Zhiqiang,&Cheng, Daizhan.(2011).Optimal Control of Logical Control Networks.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,56(8),1766-1776.
MLA	Zhao, Yin,et al."Optimal Control of Logical Control Networks".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 56.8(2011):1766-1776.