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

共 50 条

[31] Controller design for variable structure of new grey sliding mode
Zhang, S.
Chen, M.
Song, Y.
Huazhong Ligong Daxue Xuebao/Journal Huazhong (Central China) University of Science and Technology, 2001, 29 (09): : 28 - 30
[32] Variable Structure Controller Design for Linear Systems with Bounded Inputs
Bai, Shengjian
Ben-Tzvi, Pinhas
Zhou, Qingkun
Huang, Xinsheng
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2011, 9 (02) : 228 - 236
[33] Backstepping based variable structure controller design for DiffServ Network
Zhang, Nannan
Jing, Yuanwei
Zhou, Yucheng
Yang, Muyi
Zhang, Siying
2008 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2008, : 4451 - +
[34] CONTROLLER DESIGN FOR A MANIPULATOR USING THEORY OF VARIABLE STRUCTURE SYSTEMS
YOUNG, KKD
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1978, 8 (02): : 101 - 109
[35] Variable Structure Flow Controller for Connection-Oriented Communication Networks
Bartoszewicz, Andrzej
Lesniewski, Piotr
PROCEEDINGS OF THE 2013 14TH INTERNATIONAL CARPATHIAN CONTROL CONFERENCE (ICCC), 2013, : 5 - 10
[36] Boolean networks with variable number of inputs (K)
Skarja, M
Remic, B
Jerman, I
CHAOS, 2004, 14 (02) : 205 - 216
[37] Output feedback stabilizer design of Boolean networks based on network structure
Jie Zhong
Bo-wen Li
Yang Liu
Wei-hua Gui
Frontiers of Information Technology & Electronic Engineering, 2020, 21 : 247 - 259
[38] Output feedback stabilizer design of Boolean networks based on network structure
Zhong, Jie
Li, Bo-wen
Liu, Yang
Gui, Wei-hua
FRONTIERS OF INFORMATION TECHNOLOGY & ELECTRONIC ENGINEERING, 2020, 21 (02) : 247 - 259
[39] Design of variable structure controller - From sliding mode to sliding sector
Pan, YD
Furuta, K
Suzuki, S
Hatakeyama, S
PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 1685 - 1690
[40] Design of gain adaptive variable-structure controller for supercavitating vehicle
Lv, Rui
Yu, Kai-Ping
Wei, Ying-Jie
Cao, Wei
Zhang, Jia-Zhong
Wang, Jing-Hua
Binggong Xuebao/Acta Armamentarii, 2010, 31 (03): : 303 - 308

← 1 2 3 4 5 →