Stability and stabilisation of context-sensitive probabilistic Boolean networks

被引：33
作者：
Chen, Hao [1 ]
Sun, Jitao [1 ]
机构：
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
来源：
IET CONTROL THEORY AND APPLICATIONS | 2014年 / 8卷 / 17期
基金：
中国国家自然科学基金;
关键词：
stability; Boolean functions; probability; Stability; context-sensitive probabilistic Boolean networks; semitensor product method; sufficient conditions; REGULATORY NETWORKS; CONTROLLABILITY; INTERVENTION; SYSTEMS;
D O I：
10.1049/iet-cta.2014.0536
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this study, the authors consider the stability and stabilisation issues of context-sensitive probabilistic Boolean networks. Firstly, the algebraic form of the system is obtained by using the semi-tensor product method. Then, some sufficient conditions for the stability and stabilisation of the system are presented, respectively. At last, an illustrative example is given.
引用
收藏
页码：2115 / 2121
页数：7
相关论文
共 29 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]  
[Anonymous], EURASIP J BIOINFORM
[3]   Output controllability and optimal output control of state-dependent switched Boolean control networks [J].
Chen, Hao ;
Sun, Jitao .
AUTOMATICA, 2014, 50 (07) :1929-1934
[4]   A new approach for global controllability of higher order Boolean control network [J].
Chen, Hao ;
Sun, Jitao .
NEURAL NETWORKS, 2013, 39 :12-17
[5]   Impulsive observer-based stabilisation of uncertain linear systems [J].
Chen, Wu-Hua ;
Yang, Wu ;
Lu, Xiaomei .
IET CONTROL THEORY AND APPLICATIONS, 2014, 8 (03) :149-159
[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]   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]  
Cheng DH, 2011, COMMUN CONTROL ENG, P1, DOI 10.1007/978-0-85729-097-7
[10]   Robust control of uncertain context-sensitive probabilistic Boolean networks [J].
Denic, S. Z. ;
Vasic, B. ;
Charalambous, C. D. ;
Palanivelu, R. .
IET SYSTEMS BIOLOGY, 2009, 3 (04) :279-295
123