Variable structure controller design for Boolean networks

被引：12

作者：

Sun, Liangjie ^{[1
]}

Lu, Jianquan ^{[1
,2
]}

Liu, Yang ^{[1
,3
]}

Huang, Tingwen ^{[4
]}

Alsaadi, Fuad E. ^{[5
]}

Hayat, Tasawar ^{[2
,6
]}

机构：

[1] Southeast Univ, Sch Math, Nanjing 210096, Jiangsu, Peoples R China

[2] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

[3] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R China

[4] Texas A&M Univ Qatar, Doha 23874, Qatar

[5] King Abdulaziz Univ, Fac Engn, Jeddah 21589, Saudi Arabia

[6] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan

来源：

NEURAL NETWORKS | 2018年 / 97卷

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Boolean network; Variable structure control; Semi-tensor product of matrices; Stabilization; STATE-FEEDBACK STABILIZATION; CONTROLLABILITY; SYNCHRONIZATION; OBSERVABILITY; STABILITY; MODEL;

D O I：

10.1016/j.neunet.2017.09.012

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

The paper investigates the variable structure control for stabilization of Boolean networks (BNs). The design of variable structure control consists of two steps: determine a switching condition and determine a control law. We first provide a method to choose states from the reaching mode. Using this method, we can guarantee that the number of nodes which should be controlled is minimized. According to the selected states, we determine the switching condition to guarantee that the time of global stabilization in the BN is the shortest. A control law is then determined to ensure that all selected states can enter into the sliding mode, such that any initial state can arrive in the steady-state mode. Some examples are provided to illustrate the theoretical results. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：107 / 115

页数：9

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