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Global exponential stability of fuzzy cellular neural networks with delays and reaction-diffusion terms

机译:具有时滞和反应扩散项的模糊细胞神经网络的全局指数稳定性

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In this paper, we study the global exponential stability of fuzzy cellular neural networks with delays and reaction-diffusion terms. By constructing a suitable Lyapunov functional and utilizing some inequality techniques, we obtain a sufficient condition for the uniqueness and global exponential stability of the equilibrium solution for a class of fuzzy cellular neural networks with delays and reaction-diffusion terms. The result imposes constraint conditions on the network parameters independently of the delay parameter. The result is also easy to check and plays an important role in the design and application of globally exponentially stable fuzzy neural circuits. (C) 2007 Elsevier Ltd. All rights reserved.
机译:本文研究了具有时滞和反应扩散项的模糊细胞神经网络的全局指数稳定性。通过构造合适的Lyapunov泛函并利用一些不等式技术,我们为一类具有时滞和反应扩散项的模糊细胞神经网络的平衡解的唯一性和全局指数稳定性提供了充分的条件。结果对网络参数施加了约束条件,而与延迟参数无关。结果也很容易检查,并且在全局指数稳定的模糊神经电路的设计和应用中起着重要作用。 (C)2007 Elsevier Ltd.保留所有权利。

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