Exponential Stability of Cohen‐Grossberg Neural Networks with Impulse Time Window

Mei Liu, Haijun Jiang and Cheng Hu

Discrete Dynamics in Nature and Society, 2016, vol. 2016, issue 1

Abstract: This paper concerns the problem of exponential stability for a class of Cohen‐Grossberg neural networks with impulse time window and time‐varying delays. In our letter, the impulsive effects we considered can stochastically occur at a definitive time window and the impulsive controllers we considered can be nonlinear and even rely on the states of all the neurons. Hence, the impulses here can be more applicable and more general. By utilizing Lyapunov functional theory, inequality technique, and the analysis method, we obtain some novel and effective exponential stability criteria for the Cohen‐Grossberg neural networks. These results generalize a few previous known results and numerical simulations are given to show the effectiveness of the derived results.

Date: 2016
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https://doi.org/10.1155/2016/2762960

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnddns:v:2016:y:2016:i:1:n:2762960

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