Synchronization of Arbitrarily Switched Boolean Networks

被引：61

作者：

Chen, Hongwei ^{[1
]}

Liang, Jinling ^{[1
]}

Huang, Tingwen ^{[3
]}

Cao, Jinde ^{[1
,2
]}

机构：

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

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

[3] Texas A&M Univ Qatar, Sci Program, Doha 23874, Qatar

来源：

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS | 2017年 / 28卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Complete synchronization; semitensor product (STP); switched Boolean networks (SBNs); switching reachable set; NEURAL-NETWORKS; CONTROLLABILITY; STABILITY; ARRAY; OBSERVABILITY; SYSTEMS;

D O I：

10.1109/TNNLS.2015.2497708

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper investigates the complete synchronization problem for the drive-response switched Boolean networks (SBNs) under arbitrary switching signals, where the switching signals of the response SBN follow those generated by the drive SBN at each time instant. First, the definition of complete synchronization is introduced for the drive-response SBNs under arbitrary switching signals. Second, the concept of switching reachable set starting from a given initial state set is put forward. Based on it, a necessary and sufficient condition is derived for the complete synchronization of the drive-response SBNs. Last, we give a simple algebraic expression for the switching reachable set in a given number of time steps, and two computable algebraic criteria are obtained for the complete synchronization of the SBNs. A biological example is given to demonstrate the effectiveness of the obtained main results.

引用

页码：612 / 619

页数：8

共 35 条

[1] Control of Boolean networks: Hardness results and algorithms for tree structured networks [J].

Akutsu, Tatsuya ;

Hayashida, Morihiro ;

Ching, Wai-Ki ;

Ng, Michael K. .

JOURNAL OF THEORETICAL BIOLOGY, 2007, 244 (04) :670-679

[2] Boolean dynamics of networks with scale-free topology [J].

Aldana, M .

PHYSICA D-NONLINEAR PHENOMENA, 2003, 185 (01) :45-66

[3]

Chaves Madalena, 2009, 2009 European Control Conference (ECC), P671

[4] Output controllability and optimal output control of state-dependent switched Boolean control networks [J].

Chen, Hao ;

Sun, Jitao .

AUTOMATICA, 2014, 50 (07) :1929-1934

[5] On finite potential games [J].

Cheng, Daizhan .

AUTOMATICA, 2014, 50 (07) :1793-1801

[6] Stability and stabilization of Boolean networks [J].

Cheng, Daizhan ;

Qi, Hongsheng ;

Li, Zhiqiang ;

Liu, Jiang B. .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2011, 21 (02) :134-156

[7]

Cheng DH, 2011, COMMUN CONTROL ENG, P1, DOI 10.1007/978-0-85729-097-7

[8] Live and let die-A systems biology view on cell death [J].

Eissing, Thomas ;

Chaves, Madalena ;

Allgoewer, Frank .

COMPUTERS & CHEMICAL ENGINEERING, 2009, 33 (03) :583-589

[9] Analysis of mode transitions in biological networks [J].

El-Farra, NH ;

Gani, A ;

Christofides, PD .

AICHE JOURNAL, 2005, 51 (08) :2220-2234

[10] Optimal Control of Boolean Control Networks [J].

Fornasini, Ettore ;

Valcher, Maria Elena .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (05) :1258-1270

← 1 2 3 4 →