Anti-periodic solutions for cellular neural networks with oscillating coefficients in leakage terms

被引:16
作者
Zhou, Qiyuan [1 ]
机构
[1] Hunan Univ Arts & Sci, Coll Math & Comp Sci, Changde 415000, Hunan, Peoples R China
关键词
Cellular neural networks; Anti-periodic solution; Exponential stability; Oscillating coefficient; Leakage term; CONTINUOUSLY DISTRIBUTED DELAYS; EQUATIONS; SYSTEMS;
D O I
10.1007/s13042-016-0531-1
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper is concerned with the anti-periodic solutions for a class of cellular neural network model with oscillating coefficients in leakage terms. By applying contraction mapping fixed point theorem and differential inequality techniques, we establish some sufficient conditions to guarantee the existence and exponential stability of anti-periodic solutions for this model, which improve and supplement existing ones. Moreover, an example and its numerical simulations are given to support the theoretical results.
引用
收藏
页码:1607 / 1613
页数:7
相关论文
共 29 条
[1]   On exponential stability of a linear delay differential equation with an oscillating coefficient [J].
Berezansky, Leonid ;
Braverman, Elena .
APPLIED MATHEMATICS LETTERS, 2009, 22 (12) :1833-1837
[2]   Standard Plane Localization in Fetal Ultrasound via Domain Transferred Deep Neural Networks [J].
Chen, Hao ;
Ni, Dong ;
Qin, Jing ;
Li, Shengli ;
Yang, Xin ;
Wang, Tianfu ;
Heng, Pheng Ann .
IEEE JOURNAL OF BIOMEDICAL AND HEALTH INFORMATICS, 2015, 19 (05) :1627-1636
[3]   CELLULAR NEURAL NETWORKS - THEORY [J].
CHUA, LO ;
YANG, L .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10) :1257-1272
[4]  
CHUA LO, 1990, P 1990 IEEE INT WORK, P12
[5]   Anti-periodic solutions for a class of nonlinear nth-order differential equations with delays [J].
Fan, Qiyi ;
Wang, Wentao ;
Yi, Xuejun .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 230 (02) :762-769
[6]   Anti-periodic solutions for a class of Cohen-Grossberg neural networks [J].
Gong, Shuhua .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (02) :341-347
[7]   Leakage delays in BAM [J].
Gopalsamy, K. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (02) :1117-1132
[8]   Fuzzy nonlinear regression analysis using a random weight network [J].
He, Yu-Lin ;
Wang, Xi-Zhao ;
Huang, Joshua Zhexue .
INFORMATION SCIENCES, 2016, 364 :222-240
[9]   Exponential Convergence for HCNNs with Oscillating Coefficients in Leakage Terms [J].
Jiang, Ani .
NEURAL PROCESSING LETTERS, 2016, 43 (01) :285-294
[10]   Exponential convergence for shunting inhibitory cellular neural networks with oscillating coefficients in leakage terms [J].
Jiang, Ani .
NEUROCOMPUTING, 2015, 165 :159-162