New result on convergence for HCNNs with time-varying leakage delays

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• 作者：Wanmin Xiong (1)
  
  1. Furong College ; Hunan University of Arts and Science ; Changde ; 415000 ; Hunan ; People鈥檚 Republic of China
  
• 关键词：High ; order cellular neural network ; Exponential convergence ; Time ; varying delay ; Leakage term
• 刊名：Neural Computing & Applications
• 出版年：2015
• 出版时间：February 2015
• 年：2015
• 卷：26
• 期：2
• 页码：485-491
• 全文大小：335 KB
• 参考文献：1. Dembo A, Farotimi O, Kailath T (1991) High-order absolutely stable neural networks. IEEE Trans Circuits Syst 38:57鈥?5 CrossRef
  2. Psaltis D, Park CH, Hong J (1988) Higher order associative memories and their optical implementations. Neural Netw 1:143鈥?63 CrossRef
  3. Karayiannis NB, Venetsanopoulos AN (1995) On the training and performance of high-order neural networks. Math Biosci 129(2):143鈥?68 CrossRef
  4. Huang Z, Peng L, Xu M (2010) Anti-periodic solutions for high-order cellular neural networks with time-varying delays. Electron J Diff Eq 59:1鈥?
  5. Yi X, Shao J, Yu Y, Xiao B (2008) New convergence behavior of high-order Hopfield neural networks with time-varying coefficients. J Comput Appl Math 219:216鈥?22 CrossRef
  6. Zhang H, Wang W, Xiao B (2011) Exponential convergence for high-order recurrent neural networks with a class of general activation functions. Appl Math Model 35:123鈥?29 CrossRef
  7. Duan L, Huang L, Guo Z (2014) Stability and almost periodicity for delayed high-order Hopfield neural networks with discontinuous activations. Nonlinear Dyn. doi:10.1007/s11071-014-1392-3
  8. Chen Z, Yang M (2013) Exponential convergence for HRNNs with continuously distributed delays in the leakage terms. Neural Comput Appl 23:2221鈥?229 CrossRef
  9. Yu Y, Jiao W (2014) New results on exponential convergence for HRNNS with continuously distributed delays in the leakage terms. Neural Process Lett 39:167鈥?77 CrossRef
  10. Liu B (2014) Pseudo almost periodic solutions for CNNs with continuously distributed leakage delays. Neural Process Lett. doi:10.1007/s11063-014-9354-9
  11. Wang W, Liu B (2014) Global exponential stability of pseudo almost periodic solutions for SICNNs with time-varying leakage delays. Abstr Appl Anal 2014(967328):1鈥?7
  12. Liu B (2014) Pseudo almost periodic solutions for neutral type CNNs with continuously distributed leakage delays. Neurocomputing. doi:10.1016/j.neucom.2014.07.020
  13. Xu Y (2014) New results on almost periodic solutions for CNNs with time-varying leakage delays. Neural Comput Appl. doi:10.1007/s00521-014-1610-4
  14. Xu Y (2014) Anti-periodic solutions for HCNNs with time-varying delays in the leakage terms. Neural Comput Appl 24(5):1047鈥?058 CrossRef
  15. Zhang A (2013) Existence and exponential stability of anti-periodic solutions for HCNNs with time-varying leakage delays. Adv Diff Equ, 2013:162, 14 pp
  16. Jia R, Yang M (2014) Convergence for HRNNs with unbounded activation functions and time-varying delays in the leakage terms. Neural Process Lett 39:69鈥?9 CrossRef
  
• 刊物类别：Computer Science
• 刊物主题：Simulation and Modeling
  
• 出版者：Springer London
• ISSN：1433-3058

文摘

This paper is devoted to further studying on the exponential convergence for a class of high-order cellular neural networks with time-varying leakage delays. Based on the inequality techniques, some sufficient conditions are derived to ensure that all solutions of the addressed system converge exponentially to zero vector. Moreover, an example and its numerical simulation are given to illustrate the main result.