Stabilization of Boolean Control Networks

被引：6
|
作者：
Cheng, Daizhan [1 ]
Liu, Jiang B. [2 ,3 ]
机构：
[1] Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
[2] Wuhan Univ, State Key Lab Software Engn, Wuhan 430072, Peoples R China
[3] Bradley Univ, Dept Comp Sci & Info Syst, Peoria, IL 61625 USA
来源：
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009) | 2009年
关键词：
Boolean (control) system; stability; stabilization; semi-tensor product of matrices;
D O I：
10.1109/CDC.2009.5400138
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
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. They provide a framework for this study. Main results consist of two parts: (i) Using logic coordinate transformation, the known sufficient condition based on incidence matrix has been improved. It is also used in stabilizer design. (ii) Based on algebraic form, necessary and sufficient conditions for stability of Boolean networks and stabilization of Boolean control networks respectively are obtained.
引用
收藏
页码：5269 / 5274
页数：6
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