Cascading state-space decomposition of Boolean control networks

被引:0
|
作者
Zou Yunlei [1 ]
Zhu Jiandong [2 ]
Liu Yurong [1 ]
机构
[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China
[2] Nanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
基金
中国国家自然科学基金;
关键词
Boolean control network; Semi-tensor product; Nested block matrix; Cascading form; CONTROL DESIGN; STABILITY; STABILIZATION; SYNCHRONIZATION;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we study the cascading state-space decomposition problem for Boolean control networks by nested method. Firstly, based on the algebraic forms of BCNs, we give several algebraic criterions for the cascading state-space decomposable of BCNs. Secondly, we propose the concepts of multi-layer nested block matrix, and obtain two sufficient and necessary conditions for the cascading state-space decomposition of BCNs. Furthermore, a method is given to design controllers. Finally, an example is given to display the effectiveness of the method provided in this paper.
引用
收藏
页码:6326 / 6331
页数:6
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