A shunting inhibitory cellular neural network with leakage delays and continuously distributed delays of neutral type

被引:42
作者
Chen, Zhibin [1 ]
机构
[1] Hunan Univ Technol, Sch Sci, Zhuzhou 412000, Hunan, Peoples R China
关键词
Shunting inhibitory cellular neural network; Continuously distributed delay; Neutral type; Leakage delay; Exponential convergence; ALMOST-PERIODIC SOLUTIONS; EXPONENTIAL STABILITY; EXISTENCE; BAM; TERMS;
D O I
10.1007/s00521-012-1200-2
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, a shunting inhibitory cellular neural network with leakage delays and continuously distributed delays of neutral type is considered. Some sufficient conditions are established to ensure that all solutions of the networks converge exponentially to zero point, which are new and complement of previously known results.
引用
收藏
页码:2429 / 2434
页数:6
相关论文
共 16 条
[1]  
[Anonymous], 1991, P SPIE
[2]   Existence and stability of almost periodic solutions of Hopfield neural networks with continuously distributed delays [J].
Bai, Chuanzhi .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (11) :5850-5859
[3]   Synchronization of chaotic neural networks with time delay in the leakage term and parametric uncertainties based on sampled-data control [J].
Gan, Qintao ;
Liang, Yuhua .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2012, 349 (06) :1955-1971
[4]   Leakage delays in BAM [J].
Gopalsamy, K. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (02) :1117-1132
[5]   A shunting inhibitory cellular neural network with continuously distributed delays of neutral type [J].
Li, Li ;
Fang, Zheng ;
Yang, Yongqing .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2012, 13 (03) :1186-1196
[6]   Existence and global stability analysis of equilibrium of fuzzy cellular neural networks with time delay in the leakage term under impulsive perturbations [J].
Li, Xiaodi ;
Rakkiyappan, R. ;
Balasubramaniam, P. .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2011, 348 (02) :135-155
[7]   Delay-dependent stability of neural networks of neutral type with time delay in the leakage term [J].
Li, Xiaodi ;
Cao, Jinde .
NONLINEARITY, 2010, 23 (07) :1709-1726
[8]   Exponential convergence behavior of shunting inhibitory cellular neural networks with time-varying coefficients [J].
Li, Yaqiong ;
Meng, Hua ;
Zhou, Qiyuan .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 216 (01) :164-169
[9]   Global exponential stability for BAM neural networks with time-varying delays in the leakage terms [J].
Liu, Bingwen .
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2013, 14 (01) :559-566
[10]   Existence of periodic solutions for a class of Cohen-Grossberg type neural networks with neutral delays [J].
Mandal, S. ;
Majee, N. C. .
NEUROCOMPUTING, 2011, 74 (06) :1000-1007