Finite-time stability of a class of fuzzy cellular neural networks with multi-proportional delays

被引:66
作者
Jia, Renwei [1 ]
机构
[1] Hunan Univ Arts & Sci, Coll Math & Comp Sci, Changde 415000, Hunan, Peoples R China
关键词
Fuzzy cellular neural networks; Finite-time stability; Proportional delay; GLOBAL EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; CRITERIA; STABILIZATION; CNNS;
D O I
10.1016/j.fss.2017.01.003
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
This paper is concerned with finite-time stability for a class of fuzzy cellular neural networks with multi-proportional delays. Based on the finite-time stability theory, we establish a novel result to ensure the finite-time stability of the addressed system by employing the differential inequality techniques. We also use numerical simulations to demonstrate our theoretical result. (C) 2017 Published by Elsevier B.V.
引用
收藏
页码:70 / 80
页数:11
相关论文
共 33 条
[1]   Finite-time synchronization for fuzzy cellular neural networks withtime-varying delays [J].
Abdurahman, Abdujelil ;
Jiang, Haijun ;
Teng, Zhidong .
FUZZY SETS AND SYSTEMS, 2016, 297 :96-111
[2]  
Amato F, 2014, Finite-time stability and control lecture notes in control and information sciences
[3]  
[Anonymous], 2001, Introduction to neural dynamics and signal transmission delay, volume 6 of de Gruyter Series in Nonlinear Analysis and Applications
[4]   Local and Global Existence of Mild Solution for Impulsive Fractional Stochastic Differential Equations [J].
Balasubramaniam, P. ;
Kumaresan, N. ;
Ratnavelu, K. ;
Tamilalagan, P. .
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2015, 38 (02) :867-884
[5]   Approximate controllability of a class of fractional neutral stochastic integro-differential inclusions with infinite delay by using Mainardi's function [J].
Balasubramaniam, P. ;
Tamilalagan, P. .
APPLIED MATHEMATICS AND COMPUTATION, 2015, 256 :232-246
[6]  
Dovrolis C, 1999, COMP COMM R, V29, P109, DOI 10.1145/316194.316211
[7]   Comments on finite-time stability of time-delay systems [J].
Efimov, Denis ;
Polyakov, Andrey ;
Fridman, Emilia ;
Perruquetti, Wilfrid ;
Richard, Jean-Pierre .
AUTOMATICA, 2014, 50 (07) :1944-1947
[8]   Lagrange exponential stability for fuzzy Cohen-Grossberg neural networks with time-varying delays [J].
Jian, Jigui ;
Jiang, Wenlin .
FUZZY SETS AND SYSTEMS, 2015, 277 :65-80
[9]   Global exponential stability of delayed Markovian jump fuzzy cellular neural networks with generally incomplete transition probability [J].
Kao, Yonggui ;
Shi, Lei ;
Xie, Jing ;
Karimi, Harnid Reza .
NEURAL NETWORKS, 2015, 63 :18-30
[10]   Finite-time global stabilization by means of time-varying distributed delay feedback [J].
Karafyllis, I .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2006, 45 (01) :320-342