Asymptotic stability analysis of Takagi-Sugeno fuzzy genetic regulatory networks with time-varying delays

被引:0
作者
Song, Zhicheng [1 ]
Zhang, Xian [1 ]
Ji, Xiaoyu [1 ]
机构
[1] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
来源
2014 INTERNATIONAL CONFERENCE ON MECHATRONICS AND CONTROL (ICMC) | 2014年
关键词
COMPLEX CONTROL-SYSTEMS; ROBUST STABILITY; DESIGN; STABILIZATION;
D O I
暂无
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper concerns the asymptotic stability for a class of fuzzy genetic regulatory networks which is described by the Takagi-Sugeno fuzzy model with time-varying delays. In this context, by using Lyapunov functional approach and employing delay-range partition techniques, an asymptotic stability criterion in the form of linear matrix inequalities is given, which can be solved numerically by any LMI solvers. A numerical example is given to verify the effect of our theory.
引用
收藏
页码:2482 / 2487
页数:6
相关论文
共 28 条
[1]  
[Anonymous], 1996, Complexity, DOI DOI 10.1002/CPLX.6130010612
[2]   Modeling transcriptional regulatory networks [J].
Bolouri, H ;
Davidson, EH .
BIOESSAYS, 2002, 24 (12) :1118-1129
[3]   Analysis and design for a class of complex control systems .2. Fuzzy controller design [J].
Cao, SG ;
Rees, NW ;
Feng, G .
AUTOMATICA, 1997, 33 (06) :1029-1039
[4]   Analysis and design for a class of complex control systems .1. Fuzzy modelling and identification [J].
Cao, SG ;
Rees, NW ;
Feng, G .
AUTOMATICA, 1997, 33 (06) :1017-1028
[5]   A systematic molecular circuit design method for gene networks under biochemical time delays and molecular noises [J].
Chen, Bor-Sen ;
Chang, Yu-Te .
BMC SYSTEMS BIOLOGY, 2008, 2
[6]   Robustness design of nonlinear dynamic systems via fuzzy linear control [J].
Chen, BS ;
Tseng, CS ;
Uang, HJ .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1999, 7 (05) :571-585
[7]   Stability of genetic regulatory networks with time delay [J].
Chen, LN ;
Aihara, K .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2002, 49 (05) :602-608
[8]   Modeling and simulation of genetic regulatory systems: A literature review [J].
De Jong, H .
JOURNAL OF COMPUTATIONAL BIOLOGY, 2002, 9 (01) :67-103
[9]   A synthetic oscillatory network of transcriptional regulators [J].
Elowitz, MB ;
Leibler, S .
NATURE, 2000, 403 (6767) :335-338
[10]   Using Bayesian networks to analyze expression data [J].
Friedman, N ;
Linial, M ;
Nachman, I ;
Pe'er, D .
JOURNAL OF COMPUTATIONAL BIOLOGY, 2000, 7 (3-4) :601-620