Attracting and invariant sets of non-autonomous reaction-diffusion neural networks with time-varying delays

Shujun Long, Xiaohu Wang and Dingshi Li

Mathematics and Computers in Simulation (MATCOM), 2012, vol. 82, issue 11, 2199-2214

Abstract: In this paper, a class of non-autonomous reaction-diffusion neural networks with time-varying delays is investigated. By establishing a new differential inequality and employing the properties of spectral radius of nonnegative matrix and diffusion operator, the global attracting and positive invariant sets and exponential stability of non-autonomous reaction-diffusion neural networks with time-varying delays are obtained. Our results do not require the conditions of boundedness of the coefficient of neural networks. One example is given to illustrate the effectiveness of our conclusion.

Keywords: Attracting and invariant sets; Non-autonomous; Reaction-diffusion neural networks; Differential inequality; Delays (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:82:y:2012:i:11:p:2199-2214

DOI: 10.1016/j.matcom.2012.05.018

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