Exponential Convergence for HCNNs with Oscillating Coefficients in Leakage Terms

被引:13
作者
Jiang, Ani [1 ]
机构
[1] Hunan Univ Arts & Sci, Coll Math & Computat Sci, Changde 415000, Hunan, Peoples R China
关键词
High-order cellular neural network; Exponential convergence; Oscillating coefficient; Leakage term; HOPFIELD NEURAL-NETWORKS; TIME-VARYING DELAYS; ANTIPERIODIC SOLUTIONS; STABILITY; HRNNS; BAM;
D O I
10.1007/s11063-015-9418-5
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The paper is concerned with the exponential convergence for a class of high-order cellular neural networks with oscillating coefficients in leakage terms. By employing the differential inequality techniques, we establish a novel result to ensure that all solutions of the addressed system converge exponentially to zero vector. Our approach handles particular cases which were not considered in some early relevant results. An example along with its numerical simulation is presented to demonstrate the validity of the proposed result.
引用
收藏
页码:285 / 294
页数:10
相关论文
共 16 条
[1]  
[Anonymous], ELECT J DIFFERENTIAL
[2]   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
[3]   Exponential convergence for HRNNs with continuously distributed delays in the leakage terms [J].
Chen, Zhibin ;
Yang, Mingquan .
NEURAL COMPUTING & APPLICATIONS, 2013, 23 (7-8) :2221-2229
[4]   HIGH-ORDER ABSOLUTELY STABLE NEURAL NETWORKS [J].
DEMBO, A ;
FAROTIMI, O ;
KAILATH, T .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1991, 38 (01) :57-65
[5]   Stability and almost periodicity for delayed high-order Hopfield neural networks with discontinuous activations [J].
Duan, Lian ;
Huang, Lihong ;
Guo, Zhenyuan .
NONLINEAR DYNAMICS, 2014, 77 (04) :1469-1484
[6]   Leakage delays in BAM [J].
Gopalsamy, K. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 325 (02) :1117-1132
[7]   Convergence for HRNNs with Unbounded Activation Functions and Time-varying Delays in the Leakage Terms [J].
Jia, Renwei ;
Yang, Mingquan .
NEURAL PROCESSING LETTERS, 2014, 39 (01) :69-79
[8]   ON THE TRAINING AND PERFORMANCE OF HIGH-ORDER NEURAL NETWORKS [J].
KARAYIANNIS, NB ;
VENETSANOPOULOS, AN .
MATHEMATICAL BIOSCIENCES, 1995, 129 (02) :143-168
[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]   Anti-periodic solutions for high-order Hopfield neural networks [J].
Ou, Chunxia .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (07) :1838-1844