Positive almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays

  • Authors:

  • Mingshan Cai;Hong Zhang;Zhaohui Yuan

  • Affiliations:

  • Department of Electrical Engineering, Hunan University of Arts and Science, Changde, Hunan 415000, China;Department of Mathematics, Hunan University of Arts and Science, Changde, Hunan 415000, China;College of Mathematics and Econometrics, Hunan University, Changsha 410082, PR China

  • Venue:
  • Mathematics and Computers in Simulation
  • Year:
  • 2008

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Abstract

This paper is concerned with the existence and exponential stability of positive almost periodic solutions of shunting inhibitory cellular neural networks (SICNNs) with time-varying delays arising from the description of the states of neurons in delayed neural networks in a time-varying situation. By applying Lyapunov functional method and differential inequality techniques, new sufficient conditions ensuring the existence and exponential stability of positive almost periodic solutions for SICNNs are established.