Simultaneous stabilization for a set of Boolean control networks

被引：37
|
作者：
Li, Haitao [1 ]
Wang, Yuzhen [1 ]
Liu, Zhenbin [1 ]
机构：
[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China
来源：
SYSTEMS & CONTROL LETTERS | 2013年 / 62卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Boolean control network; Simultaneous stabilization; Column stacking form of matrices; Semi-tensor product; CONTROLLABILITY; REPRESENTATION; STABILITY; MATRIX;
D O I：
10.1016/j.sysconle.2013.09.008
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper investigates simultaneous stabilization of a collection of Boolean control networks (BCNs) by using the semi-tensor product method, and presents a number of new results. First, an algebraic expression of the BCNs is obtained by the semi-tensor product, based on which some necessary and sufficient conditions are presented to solve the simultaneous stabilization problem by a free control sequence, a state-feedback control, and an output-feedback control, respectively. Second, using the column stacking form of matrices, a new procedure is established to design both state-feedback and output-feedback controllers for the simultaneous stabilization problem. The study of two illustrative examples shows that the new results obtained in this paper are very effective in solving simultaneous stabilization of a collection of BCNs. (C) 2013 Published by Elsevier B.V.
引用
收藏
页码：1168 / 1174
页数：7
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