Feedback control design for the complete synchronisation of two coupled Boolean networks

被引：29

作者：

Li, Fangfei ^{[1
]}

机构：

[1] E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

来源：

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2016年 / 47卷 / 12期

基金：

中国国家自然科学基金;

关键词：

semi-tensor product; synchronisation; feedback control design; Boolean network; DEPENDENT CONTROL; CONTROLLABILITY; OBSERVABILITY; ROBUST;

D O I：

10.1080/00207721.2015.1053834

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

080201 [机械制造及其自动化];

摘要：

In the literatures, to design state feedback controllers to make the response Boolean network synchronise with the drive Boolean network is rarely considered. Motivated by this, feedback control design for the complete synchronisation of two coupled Boolean networks is investigated in this paper. A necessary condition for the existence of a state feedback controller achieving the complete synchronisation is established first. Then, based on the necessary condition, the feedback control law is proposed. Finally, an example is worked out to illustrate the proposed design procedure.

引用

收藏

页码：2996 / 3003

页数：8

相关论文

共 30 条

[1]

Partial stability and stabilisation of Boolean networks [J].

Chen, Hong-Wei ;

Sun, Liang-Jie ;

Liu, Yang .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2016, 47 (09) :2119-2127

[2]

A Linear Representation of Dynamics of Boolean Networks [J].

Cheng, Daizhan ;

Qi, Hongsheng .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (10) :2251-2258

[3]

Controllability and observability of Boolean control networks [J].

Cheng, Daizhan ;

Qi, Hongsheng .

AUTOMATICA, 2009, 45 (07) :1659-1667

[4]

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

[5]

Finite-Horizon H∞ Control for Discrete Time-Varying Systems With Randomly Occurring Nonlinearities and Fading Measurements [J].

Ding, Derui ;

Wang, Zidong ;

Lam, James ;

Shen, Bo .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (09) :2488-2493

[6]

Envelope-constrained H∞ filtering with fading measurements and randomly occurring nonlinearities: The finite horizon case [J].

Ding, Derui ;

Wang, Zidong ;

Shen, Bo ;

Dong, Hongli .

AUTOMATICA, 2015, 55 :37-45

[7]

Number and length of attractors in a critical kauffman model with connectivity one [J].

Drossel, B ;

Mihaljev, T ;

Greil, F .

PHYSICAL REVIEW LETTERS, 2005, 94 (08) :1-4

[8]

Shape-dependent control of cell growth, differentiation, and apoptosis: Switching between attractors in cell regulatory networks [J].

Huang, S ;

Ingber, DE .

EXPERIMENTAL CELL RESEARCH, 2000, 261 (01) :91-103

[9]

METABOLIC STABILITY AND EPIGENESIS IN RANDOMLY CONSTRUCTED GENETIC NETS [J].

KAUFFMAN, SA .

JOURNAL OF THEORETICAL BIOLOGY, 1969, 22 (03) :437-&

[10]

Observability of Boolean Control Networks with State Time Delays [J].

Li, Fangfei ;

Sun, Jitao ;

Wu, Qi-Di .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2011, 22 (06) :948-954