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Dynamics of Cohen-Grossberg Neural Networks with Mixed Delays and Impulses

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  • Xinsong Yang
  • Chuangxia Huang
  • Defei Zhang
  • Yao Long

Abstract

Impulsive Cohen-Grossberg neural networks with bounded and unbounded delays (i.e., mixed delays) are investigated. By using the Leray-Schauder fixed point theorem, differential inequality techniques, and constructing suitable Lyapunov functional, several new sufficient conditions on the existence and global exponential stability of periodic solution for the system are obtained, which improves some of the known results. An example and its numerical simulations are employed to illustrate our feasible results.

Suggested Citation

  • Xinsong Yang & Chuangxia Huang & Defei Zhang & Yao Long, 2008. "Dynamics of Cohen-Grossberg Neural Networks with Mixed Delays and Impulses," Abstract and Applied Analysis, Hindawi, vol. 2008, pages 1-14, January.
    • Handle: RePEc:hin:jnlaaa:432341
    DOI: 10.1155/2008/432341
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