Exponential Convergence of a SICNN with Leakage Delays and Continuously Distributed Delays of Neutral Type

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• 作者：Changhong Zhao (1)
  Zengyun Wang (2)
  
  1. College of Mathematics and Computer Science ; Hunan University of Arts and Science ; Changde聽 ; 415000 ; Hunan ; People鈥檚 Republic of China
  2. Department of Mathematics ; Hunan First Normal University ; Changsha聽 ; 410205 ; People鈥檚 Republic of China
  
• 关键词：Shunting inhibitory cellular neural network ; Continuously distributed delay ; Neutral type ; Leakage delay ; Exponential convergence
• 刊名：Neural Processing Letters
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：41
• 期：2
• 页码：239-247
• 全文大小：142 KB
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  5. Peng, GQ, Huang, LH (2009) Anti-periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays. Nonlinear Anal Real World Appl 10: pp. 2434-2440 CrossRef
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  15. Chen, Z, Meng, J (2012) Exponential convergence for cellular neural networks with time-varying delays in the leakage terms, Hindawi Publishing Corporation. Abstr Appl Anal 941063: pp. 11
  16. Zhang, A (2013) Existence and exponential stability of anti-periodic solutions for HCNNs with time-varying leakage delays. Adv Differ Equ 2013: pp. 1-14
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  18. Chen Z (2012) A shunting inhibitory cellular neural network with leakage delays and continuously distributed delays of neutral type. Neural Comput Applic. doi:10.1007/s00521-012-1200-2
  
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Complexity
  Artificial Intelligence and Robotics
  Electronic and Computer Engineering
  Operation Research and Decision Theory
  
• 出版者：Springer Netherlands
• ISSN：1573-773X

文摘

This paper concerns with a shunting inhibitory cellular neural network with leakage delays and continuously distributed delays of neutral type. By using Lyapunov functional method and differential inequality techniques, we employ a novel argument to establish a criterion on the global exponential convergence of the network. Our results complement some recent ones.