Controllability of Markovian jump Boolean control networks

被引：66
|
作者：
Meng, Min [1 ]
Xiao, Gaoxi [1 ,2 ,3 ]
Zhai, Chao [1 ,2 ,3 ]
Li, Guoqi [4 ]
机构：
[1] Nanyang Technol Univ, Sch Elect & Elect Engn, 50 Nanyang Ave, Singapore 639798, Singapore
[2] Nanyang Technol Univ, Inst Catastrophe Risk Management, 50 Nanyang Ave, Singapore 639798, Singapore
[3] Singapore ETH Ctr, Future Resilient Syst, 1 Create Way,CREATE Tower, Singapore 138602, Singapore
[4] Tsinghua Univ, Ctr Brain Inspired Comp Res, Dept Precis Instrument, Beijing 100084, Peoples R China
来源：
AUTOMATICA | 2019年 / 106卷
关键词：
Controllability; Markovian jump Boolean networks; Minimal controllable time; Semi-tensor product; STABILITY; EXPRESSION;
D O I：
10.1016/j.automatica.2019.04.028
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, controllability of Markovian jump Boolean control networks (MJBCNs) is studied via semi-tensor product of matrices. First, based on the algebraic expression of the considered Boolean control networks, a necessary and sufficient condition for controllability is presented by iteration equations, which however may lead to high-dimensional matrices. To avoid having such matrices, a new matrix is defined and applied to derive another equivalent condition to verify controllability of MJBCNs. Moreover, a maximum principle of MJBCNs is established to further study the minimal controllable time. Finally, two examples are presented to illustrate the obtained results. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：70 / 76
页数：7
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