Stability analysis of Takagi-Sugeno fuzzy cellular neural networks with time-varying delays

被引：50
作者：
Hou, Yi-You [1 ]
Liao, Teh-Lu
Yan, Jun-Juh
机构：
[1] Natl Cheng Kung Univ, Dept Engn Sci, Tainan 70101, Taiwan
[2] Shu Te Univ, Dept Comp & Commun, Kaohsiung 824, Taiwan
来源：
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS | 2007年 / 37卷 / 03期
关键词：
cellular neural networks (CNNs); linear matrix inequality (LMI); Lyapunov-Krasovskii functional theory; Takagi-Sugeno (T-S) fuzzy model; time-varying delay;
D O I：
10.1109/TSMCB.2006.889628
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This correspondence investigates the global exponential stability problem of Takagi-Sugeno fuzzy cellular neural networks with time-varying delays (TSFDCNNs). Based on the Lyapunov-Krasovskii functional theory and linear matrix inequality technique, a less conservative delay-dependent stability criterion is derived to guarantee the exponential stability of TSFDCNNs. By constructing a Lyapunov-Krasovskii functional, the supplementary requirement that the time derivative of time-varying delays must be smaller than one is released in the proposed delay-dependent stability criterion. Two illustrative examples are provided to verify the effectiveness of the proposed results.
引用
收藏
页码：720 / 726
页数：7
相关论文
共 30 条
[11]   CELLULAR NEURAL NETWORKS - APPLICATIONS [J].
CHUA, LO ;
YANG, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1273-1290
[12]   CELLULAR NEURAL NETWORKS - THEORY [J].
CHUA, LO ;
YANG, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1257-1272
[13]  
CUA LO, 2002, CELLULAR NEURAL NETW
[14]   Global exponential stability and existence of periodic solutions of CNNs with delays [J].
Dong, MF .
PHYSICS LETTERS A, 2002, 300 (01) :49-57
[15]   STABILITY IN ASYMMETRIC HOPFIELD NETS WITH TRANSMISSION DELAYS [J].
GOPALSAMY, K ;
HE, XZ .
PHYSICA D-NONLINEAR PHENOMENA, 1994, 76 (04) :344-358
[16]  
Gu K., 2003, CONTROL ENGN SER BIR, DOI 10.1007/978-1-4612-0039-0
[17]   Stochastic stability analysis, of fuzzy hopfield neural networks with time-varying delays [J].
Huang, H ;
Ho, DWC ;
Lam, J .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2005, 52 (05) :251-255
[18]   SALT - A KNOWLEDGE ACQUISITION LANGUAGE FOR PROPOSE-AND-REVISE SYSTEMS [J].
MARCUS, S ;
MCDERMOTT, J .
ARTIFICIAL INTELLIGENCE, 1989, 39 (01) :1-37
[19]   Identification of fuzzy models with the aid of evolutionary data granulation [J].
Park, BJ ;
Pedrycz, W ;
Oh, SK .
IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2001, 148 (05) :406-418
[20]   CELLULAR NEURAL NETWORKS WITH NONLINEAR AND DELAY-TYPE TEMPLATE ELEMENTS AND NONUNIFORM GRIDS [J].
ROSKA, T ;
CHUA, LO .
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 1992, 20 (05) :469-481
123