Analysis on global exponential robust stability of reaction-diffusion neural networks with S-type distributed delays |
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Authors: | Puchen Liu Fengqi Yi Jun Yang |
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Affiliation: | a Department of Mathematics, Linyi Normal University, Linyi 276005, Shandong, PR China b Department of Mathematics, Harbin Institute of Technology, Harbin 150001, PR China c Department of Mathematics and Statistics, York University, Ontario M3J 1L2, Canada |
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Abstract: | To avoid the unstable phenomena caused by time delays and perturbations, we investigate the sufficient conditions to ensure the global exponential robust stability with a convergence rate for the reaction-diffusion neural networks with S-type distributed delays. Because S-type distributed delays lead to some difficulty, we also introduce a new generalized Halanay inequality and a novel method-system-approximation method into the qualitative research of neural networks. Moreover, the sufficient criteria provided here, which are rather accessible and feasible, have wider adaptive range. |
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Keywords: | Exponential robust stability Neural networks Distributed delays Reaction-diffusion |
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