Sampled-data controllability and stabilizability of Boolean control networks: Nonuniform sampling

被引:45
作者
Yu, Yongyuan [1 ]
Feng, Jun-e [1 ]
Wang, Biao [1 ]
Wang, Peihe [2 ]
机构
[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Jining 273165, Peoples R China
来源
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2018年 / 355卷 / 12期
关键词
OUTPUT-FEEDBACK STABILIZATION; GENE REGULATORY NETWORKS; COMPLETE SYNCHRONIZATION; STRATEGY OPTIMIZATION; OBSERVABILITY; GAMES; DECOMPOSITION; STABILITY; DYNAMICS;
D O I
10.1016/j.jfranklin.2018.05.036
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Derived from a simplified intelligent traffic control system, sampled-data controllability and stabilizability of Boolean control networks are considered. Compared with the existing case of uniform (periodic) sampling in Boolean control networks, the nonuniform one is more general. Using linear span with integral coefficients, the distribution of sampling points can be obtained. Then by constructing novel systems, some necessary and sufficient conditions are proposed to determine sampled-data controllability and stabilizability. Finally, two illustrative examples, which are on apoptosis networks and traffic control systems, respectively, are worked out to show the effectiveness of the obtained results. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:5324 / 5335
页数:12
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