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Robust Global Exponential Stability for Interval Reaction–Diffusion Hopfield Neural Networks With Distributed Delays

机译:具有分布时滞的区间反应扩散Hopfield神经网络的鲁棒全局指数稳定性

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摘要

This brief presents a sufficient condition for the existence, uniqueness, and robust global exponential stability of the equilibrium solution for a class of interval reaction diffusion Hopfield neural networks with distributed delays and Dirichlet boundary conditions by constructing suitable Lyapunov functional and utilizing some inequality techniques. The result imposes constraint conditions on the boundary values of the network parameters. The result is also easy to verify and plays an important role in the design and application of globally exponentially stable neural circuits.
机译:通过构造合适的Lyapunov泛函并利用一些不等式技术,此概述为一类具有分布时滞和Dirichlet边界条件的区间反应扩散Hopfield神经网络的平衡解的存在性,唯一性和鲁棒全局指数稳定性提供了充分的条件。结果对网络参数的边界值施加约束条件。该结果也易于验证,并且在全局指数稳定神经回路的设计和应用中起着重要作用。

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