Global Exponential Stability and Periodicity of Nonautonomous Impulsive Neural Networks with Time-Varying Delays and Reaction-Diffusion Terms

Weiyi Hu, Kelin Li and Sigurdur F. Hafstein

Complexity, 2021, vol. 2021, 1-13

Abstract: In this paper, we investigate the global exponential stability and periodicity of nonautonomous cellular neural networks with reaction-diffusion, impulses, and time-varying delays. By establishing a new differential inequality for nonautonomous systems, using the properties of M-matrix and inequality techniques, some new sufficient conditions for the global exponential stability of the system are obtained. Moreover, sufficient conditions for the periodic solutions of the system are obtained by using the Poincare mapping and the fixed point theory. The validity and superiority of the main results are verified by numerical examples and simulations.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:3495545

DOI: 10.1155/2021/3495545

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