Stability and stabilization of Boolean networks

doi:10.1002/rnc.1581

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	Stability and stabilization of Boolean networks
	Cheng, Daizhan 2; Qi, Hongsheng 2; Li, Zhiqiang 2; Liu, Jiang B.1,3
	2011-01-25
发表期刊	INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL
ISSN	1049-8923
卷号	21 期号:2 页码:134-156
摘要	The stability of Boolean networks and the stabilization of Boolean control networks are investigated. Using semi-tensor product of matrices and the matrix expression of logic, the dynamics of a Boolean (control) network can be converted to a discrete time linear (bilinear) dynamics, called the algebraic form of the Boolean (control) network. Then the stability can be revealed by analyzing the transition matrix of the corresponding discrete time system. Main results consist of two parts: (i) Using logic coordinate transformation, the known sufficient condition based on incidence matrix has been improved. It can also be used in stabilizer design. (ii) Based on algebraic form, necessary and sufficient conditions for stability and stabilization, respectively, are obtained. Copyright (C) 2010 John Wiley & Sons, Ltd.
关键词	Boolean (control) system stability stabilization semi-tensor product of matrices
DOI	10.1002/rnc.1581
语种	英语
资助项目	NNSF[60674022] ; NNSF[60736022] ; NNSF[60821091]
WOS研究方向	Automation & Control Systems ; Engineering ; Mathematics
WOS类目	Automation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Applied
WOS记录号	WOS:000286292300002
出版者	WILEY-BLACKWELL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/12947
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Jiang B.
作者单位	1.Bradley Univ, Dept Comp Sci & Informat Syst, Peoria, IL 61625 USA 2.Chinese Acad Sci, Lab Syst & Control, AMSS, Beijing 100190, Peoples R China 3.Wuhan Univ, State Key Lab Software Engn, Wuhan 430072, Peoples R China
推荐引用方式 GB/T 7714	Cheng, Daizhan,Qi, Hongsheng,Li, Zhiqiang,et al. Stability and stabilization of Boolean networks[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,2011,21(2):134-156.
APA	Cheng, Daizhan,Qi, Hongsheng,Li, Zhiqiang,&Liu, Jiang B..(2011).Stability and stabilization of Boolean networks.INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,21(2),134-156.
MLA	Cheng, Daizhan,et al."Stability and stabilization of Boolean networks".INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 21.2(2011):134-156.