Robust stability analysis of interval fuzzy Cohen-Grossberg neural networks with piecewise constant argument of generalized type

被引：78

作者：

Bao, Gang

Wen, Shiping

Zeng, Zhigang ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China

来源：

NEURAL NETWORKS | 2012年 / 33卷

关键词：

Piecewise constant argument; Fuzzy recurrent neural networks; Global robustly exponential stability; TIME-VARYING DELAYS; GLOBAL EXPONENTIAL STABILITY; DIFFERENTIAL-EQUATIONS; ASSOCIATIVE MEMORIES; ASYMPTOTIC STABILITY; DIFFUSION;

D O I：

10.1016/j.neunet.2012.04.003

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, existence and uniqueness of the solution of interval fuzzy Cohen-Grossberg neural networks with piecewise constant argument are discussed. Based on the comparison principle, it presents new theoretical results on the global robust exponential stability of interval fuzzy Cohen-Grossberg networks with piecewise constant argument. As a special case, the corresponding results of interval fuzzy recurrent neural networks with piecewise constant argument are derived. Three examples are given for illustrating validity of the obtained results. (c) 2012 Elsevier Ltd. All rights reserved.

引用

页码：32 / 41

页数：10

共 48 条

[1] Stability of differential equations with piecewise constant arguments of generalized type
Akhmet, M. U.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (04) : 794 - 803
[2] On the reduction principle for differential equations with piecewise constant argument of generalized type
Akhmet, M. U.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 336 (01) : 646 - 663
[3] Integral manifolds of differential equations with piecewise constant argument of generalized type
Akhmet, M. U.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (02) : 367 - 383
[4] Stability analysis of recurrent neural networks with piecewise constant argument of generalized type
Akhmet, M. U.
Arugaslan, D.
Yilmaz, E.
[J]. NEURAL NETWORKS, 2010, 23 (07) : 805 - 811
[5] Impulsive Hopfield-type neural network system with piecewise constant argument
Akhmet, M. U.
Yilmaz, E.
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (04) : 2584 - 2593
[6] Differential equations with state-dependent piecewise constant argument
Akhmet, M. U.
Buyukadali, C.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (11) : 4200 - 4210
[7] Stability in cellular neural networks with a piecewise constant argument
Akhmet, M. U.
Arugaslan, D.
Yilmaz, E.
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 233 (09) : 2365 - 2373
[8] [Anonymous], 2011, Nonlinear Hybrid Continuous-Discrete-Time Models
[9] [Anonymous], 2006, Proceedings of the Conference on Differential and Difference Equations at the Florida Institute of Technology, Melbourne, Florida, 1-5 August 2005
[10] Robust stability of uncertain fuzzy cellular neural networks with time-varying delays and reaction diffusion terms
Balasubramaniam, P.
Ali, M. Syed
[J]. NEUROCOMPUTING, 2010, 74 (1-3) : 439 - 446

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