Realization of Boolean control networks

被引:178
作者
Cheng, Daizhan [1 ]
Li, Zhiqiang [1 ]
Qi, Hongsheng [1 ]
机构
[1] Chinese Acad Sci, Key Lab Syst & Control, Acad Math & Syst Sci, Beijing 100190, Peoples R China
关键词
Boolean control network; Coordinate transformation; Normal form; Kalman decomposition; Realization;
D O I
10.1016/j.automatica.2009.10.036
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Based on the linear expression of the dynamics of Boolean networks, the coordinate transformation of Boolean variables is defined. It follows that the state space coordinate transformation for the dynamics of Boolean networks is revealed. Using it, the invariant subspace for a Boolean control network is defined. Then the structure of a Boolean control network is analyzed, and the controllable and observable normal forms and the Kalman decomposition form are presented. Finally the realization problem, including minimum realization, of Boolean control networks is investigated. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:62 / 69
页数:8
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