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Attracting and Quasi‐Invariant Sets of Cohen‐Grossberg Neural Networks with Time Delay in the Leakage Term under Impulsive Perturbations

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  • Guiying Chen
  • Linshan Wang

Abstract

A class of impulsive Cohen‐Grossberg neural networks with time delay in the leakage term is investigated. By using the method of M‐matrix and the technique of delay differential inequality, the attracting and invariant sets of the networks are obtained. The results in this paper extend and improve the earlier publications. An example is presented to illustrate the effectiveness of our conclusion.

Suggested Citation

  • Guiying Chen & Linshan Wang, 2015. "Attracting and Quasi‐Invariant Sets of Cohen‐Grossberg Neural Networks with Time Delay in the Leakage Term under Impulsive Perturbations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:491801
    DOI: 10.1155/2015/491801
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    1. Guiying Chen & Linshan Wang, 2014. "Global Exponential Robust Stability of Static Interval Neural Networks with Time Delay in the Leakage Term," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    2. Haiyong Zheng & Bin Wu & Tengda Wei & Linshan Wang & Yangfan Wang, 2014. "Global Exponential Robust Stability of High‐Order Hopfield Neural Networks with S‐Type Distributed Time Delays," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    3. Haiyong Zheng & Bin Wu & Tengda Wei & Linshan Wang & Yangfan Wang, 2014. "Global Exponential Robust Stability of High-Order Hopfield Neural Networks with S-Type Distributed Time Delays," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-8, June.
    4. Guiying Chen & Linshan Wang, 2014. "Global Exponential Robust Stability of Static Interval Neural Networks with Time Delay in the Leakage Term," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-6, January.
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