Periodic Solution for Neutral-Type Neural Networks in Critical Case

被引:8
作者
Du, Bo [1 ,2 ]
Lu, Shiping [3 ]
Liu, Yurong [2 ]
机构
[1] Huaiyin Normal Univ, Dept Math, Huaian 223300, Jiangsu, Peoples R China
[2] Yangzhou Univ, Dept Math, Yangzhou 225002, Jiangsu, Peoples R China
[3] NUIST, Coll Math & Phys, Nanjing 210044, Jiangsu, Peoples R China
关键词
Neural networks; Neutral-type; Periodic solution; Critical case; FUNCTIONAL-DIFFERENTIAL EQUATION; ASYMPTOTIC STABILITY; TIME DELAYS; SYSTEMS;
D O I
10.1007/s11063-015-9493-7
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
A generalized neutral-type neural networks in critical case is studied. Some existence and asymptotic behavior results of periodic solution to the neutral-type neural networks in critical case are obtained by continuation theorem of coincidence degree theory and some analysis techniques. Finally, an example is given to show the effectiveness of the results in this paper.
引用
收藏
页码:765 / 777
页数:13
相关论文
共 21 条
[1]   Asymptotic stability of differential systems of neutral type [J].
Agarwal, RP ;
Grace, SR .
APPLIED MATHEMATICS LETTERS, 2000, 13 (08) :15-19
[2]   Asymptotic stability of certain neutral differential equations [J].
Agarwal, RP ;
Grace, SR .
MATHEMATICAL AND COMPUTER MODELLING, 2000, 31 (8-9) :9-15
[3]  
[Anonymous], 1977, COINCIDENCE DEGREE N, DOI DOI 10.1007/BFB0089537
[4]  
Barbalat I., 1959, Rev. Math. Pures Appl., V4, P267
[5]   Globally asymptotic stability of a class of neutral-type neural networks with delays [J].
Cheng, Chao-Jung ;
Liao, Teh-Lu ;
Yan, Jun-Juh ;
Hwang, Chi-Chuan .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2006, 36 (05) :1191-1195
[6]   A neutral-type delayed projection neural network for solving nonlinear variational inequalities [J].
Cheng, Long ;
Hou, Zeng-Guang ;
Tan, Min .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2008, 55 (08) :806-810
[7]  
Du B, 2013, MATH SLOVACA, V2, P1
[8]  
Du B, 2011, ELECTRON J QUAL THEO, P1
[9]   Periodic oscillation for a Hopfield neural networks with neutral delays [J].
Gui, Zhanji ;
Ge, Weigao ;
Yang, Xiao-Song .
PHYSICS LETTERS A, 2007, 364 (3-4) :267-273
[10]   Synchronization of Coupled Neutral-Type Neural Networks With Jumping-Mode-Dependent Discrete and Unbounded Distributed Delays [J].
Liu, Yurong ;
Wang, Zidong ;
Liang, Jinling ;
Liu, Xiaohui .
IEEE TRANSACTIONS ON CYBERNETICS, 2013, 43 (01) :102-114