Abstract
Some conditions ensuring existence, uniqueness for a class of delayed interval Hopfield neural networks with reaction-diffusion terms are proposed in this paper. Applying vector Lyapunov function and M-matrix theory, the global exponential robust stability of the system is studied. The obtained conditions containing diffusion terms improve the conservative of the previous results. An illustrated example shows how to use our results in practice.
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Xu, X., Zhang, J., Zhang, W. (2010). Global Exponential Robust Stability of Delayed Hopfield Neural Networks with Reaction-Diffusion Terms. In: Zhang, L., Lu, BL., Kwok, J. (eds) Advances in Neural Networks - ISNN 2010. ISNN 2010. Lecture Notes in Computer Science, vol 6063. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13278-0_88
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DOI: https://doi.org/10.1007/978-3-642-13278-0_88
Publisher Name: Springer, Berlin, Heidelberg
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