Stability and stabilization of Boolean networks
Cheng, Daizhan2; Qi, Hongsheng2; Li, Zhiqiang2; Liu, Jiang B.1,3
AbstractThe 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.
KeywordBoolean (control) system stability stabilization semi-tensor product of matrices
Funding ProjectNNSF[60674022] ; NNSF[60736022] ; NNSF[60821091]
WOS Research AreaAutomation & Control Systems ; Engineering ; Mathematics
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Applied
WOS IDWOS:000286292300002
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Document Type期刊论文
Corresponding AuthorLiu, Jiang B.
Affiliation1.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
Recommended Citation
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.
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