Controllability of Boolean Control Networks With Multiple Time Delays

被引：18
作者：
Ding, Yong [1 ]
Xie, Dian [1 ]
Guo, Yuqian [1 ]
机构：
[1] Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Hunan, Peoples R China
来源：
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS | 2018年 / 5卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Boolean control network (BCN); controllability matrix; semitensor product (STP) of matrices; time delay; OUTPUT-FEEDBACK STABILIZATION; CONTROL DESIGN; STABILITY; STATE; OBSERVABILITY;
D O I：
10.1109/TCNS.2017.2763744
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, the controllability of Boolean control networks (BCNs) withmultiple time delays is investigated. The concept of controllability matrices for BCNs with multiple time-varying delays is proposed, and an iterative algorithm is proposed to calculate all controllability matrices. Based on this, a concise criterion for controllability is proposed, which states that a BCN with delays is controllable if and only if all elements of its controllability matrix are nonzero. The proposed method is applied to BCNs with periodic and constant delays, respectively. Sufficient and necessary conditions for controllability are presented. Finally, two examples are given to illustrate the main results.
引用
收藏
页码：1787 / 1795
页数：9
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