Delayed Feedback Control for Stabilization of Boolean Control Networks With State Delay

被引：59
|
作者：
Liu, Rongjian [1 ]
Lu, Jianquan [1 ,2 ]
Liu, Yang [1 ,3 ]
Cao, Jinde [1 ]
Wu, Zheng-Guang [4 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
[2] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
[3] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
[4] Zhejiang Univ, Inst Cyber Syst & Control, Natl Lab Ind Control Technol, Hangzhou 310027, Zhejiang, Peoples R China
来源：
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS | 2018年 / 29卷 / 07期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Boolean networks (BNs); delayed feedback control; semi-tensor product (STP) of matrices; MINIMUM-TIME CONTROL; DYNAMICAL NETWORKS; CONTROL DESIGN; CONTROLLABILITY; SYNCHRONIZATION; OBSERVABILITY; STABILITY; OBSERVERS; CONSENSUS; EQUATIONS;
D O I：
10.1109/TNNLS.2017.2659386
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this brief, we study the delayed feedback stabilization problem for Boolean control networks (BCNs) with state delay. Using the semi-tensor product of matrices, some necessary and sufficient conditions are obtained. For the stabilization of BCNs, detailed procedure to construct the feedback controllers is also presented. We further derive the number of different feedback controllers, which can successfully stabilize the BCN in a finite time. Finally, an illustrative example is presented to show the effectiveness of our method.
引用
收藏
页码：3283 / 3288
页数：6
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