具传输时滞和变系数的模糊细胞神经网络的指数稳定性及周期解(英文)

Exponential Stability and Periodic Solutions of Fuzzy Cellular Neural Networks with Transmission Delay and Variable Coefficients

介绍一类具传输时滞和变系数的模糊细胞神经网络(FCNN),通过使用线性矩阵不等式(LMI)和Lyapunov-Krasovskii泛函,研究它的周期解的存在性及全局指数稳定性,并获得一些充分条件。此外,给出一个实例说明结果是可行的。

In this paper, we introduce a class of fuzzy cellular neural networks （FCNN） with transmission delays and variable coefficients. By using Linear Matrix Inequality （LMI） and general Lyapunov- Krasovskii functional, the global exponential stability and the existence of periodic solutions of this model are further studied. Some sufficient conditions are obtained ensuring global exponential stability and the existence of periodic solutions of the FCNN with transmission delays and variable coefficients. Moreover, an example is given to illustrate the feasibility of our results.