Controllability of Boolean control networks with time delays in states

被引：263

作者：

Li, Fangfei ^{[1
]}

Sun, Jitao ^{[1
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

来源：

AUTOMATICA | 2011年 / 47卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Boolean control networks; Systems biology; Controllability; Time delay; BIOLOGICAL APPLICATIONS; SCALAR EQUATIONS; SYSTEMS;

D O I：

10.1016/j.automatica.2011.01.040

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：

This paper investigates the controllability of Boolean networks with time-invariant delays in states. After a brief introduction on converting the logic dynamics to discrete time delay systems, the controllability via two kinds of controls is studied. One kind of control is generated by Boolean control networks, another kind of control is free Boolean sequences. In both cases, necessary and sufficient conditions of the controllability of Boolean control networks are proved. Finally, examples are given to illustrate the efficiency of the obtained results. (c) 2011 Elsevier Ltd. All rights reserved.

引用

页码：603 / 607

页数：5

共 19 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]

Controllability and simultaneous controllability of isospectral bilinear control systems on complex flag manifolds [J].

Altafini, Claudio .

SYSTEMS & CONTROL LETTERS, 2009, 58 (03) :213-216

[3]

On the robustness of update schedules in Boolean networks [J].

Aracena, J. ;

Goles, E. ;

Moreira, A. ;

Salinas, L. .

BIOSYSTEMS, 2009, 97 (01) :1-8

[4]

On the global null controllability of a Navier-Stokes system with Navier slip boundary conditions [J].

Chapouly, Marianne .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 247 (07) :2094-2123

[5]

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

[6]

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

Cheng, Daizhan ;

Qi, Hongsheng .

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

[7]

Realization of Boolean control networks [J].

Cheng, Daizhan ;

Li, Zhiqiang ;

Qi, Hongsheng .

AUTOMATICA, 2010, 46 (01) :62-69

[8]

Controllability and observability of Boolean control networks [J].

Cheng, Daizhan ;

Qi, Hongsheng .

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

[9]

Input-State Approach to Boolean Networks [J].

Cheng, Daizhan .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2009, 20 (03) :512-521

[10]

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

← 1 2 →