ABSTRACT This paper is concerned with the global dissipativity of fuzzy cellular neural networks with inertial term and proportional delays. Based on Lyapunov functionals and linear matrix inequality approach, new sufficient conditions are derived to ensure the global dissipativity and global exponential dissipativity of the suggested system. Moreover, the globally exponential attractive sets and positive invariant sets are also presented here. Finally, two numerical examples with its simulations are proposed to illustrate the effectiveness of the obtained results.

中文翻译：

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具有惯性项和比例延迟的模糊细胞神经网络的全局耗散性

摘要 本文关注具有惯性项和比例延迟的模糊细胞神经网络的全局耗散性。基于李雅普诺夫泛函和线性矩阵不等式方法，推导出新的充分条件来保证所建议系统的全局耗散性和全局指数耗散性。此外，这里还介绍了全局指数吸引集和正不变集。最后，提出了两个数值例子及其模拟来说明所得结果的有效性。