文献类型：期刊文献

英文题名：Stability of Boolean Networks With Delays Using Pinning Control

作者：Li, Fangfei[1,2]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]Hangzhou Dianzi Univ, Sch Automat, Hangzhou 310018, Peoples R China

年份：2018

卷号：5

期号：1

起止页码：179

外文期刊名：IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS

收录：;EI(收录号：20181304967770);WOS:【SCI-EXPANDED(收录号:WOS:000427871900016)】；

基金：This work was supported in part by the National Natural Science Foundation of China under Grant 61403139, in part by the Science and Technology Commission of Shanghai Municipality under Grant 14YF1404500, and in part by the Zhejiang Open Foundation of the Most Important Subjects. Recommended by Associate Editor P. A. Iglesias.

语种：英文

外文关键词：Boolean networks; pinning control; semitensor product; time delay

摘要：This paper investigates pinning control for stabilizing Boolean networks with time delays. The purpose of this paper is to design a control algorithm to select a fraction of key nodes for a Boolean network with time delays such that the considered Boolean network can achieve stability. First, by changing the columns of the transition matrix of a Boolean network, the stabilization of a Boolean network is investigated. By doing this, we can obtain a new transition matrix for which we can select the key nodes. Furthermore, an algorithm is then proposed to design a pinning controller. Finally, an example of pinning control of coupled oscillators in the cell cycle is presented to show the effectiveness of the proposed results.