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考虑了一类具有时变和连续分布时滞神经网络系统的指数稳定性问题.通过引入Lyapunov-Krasovskii泛函、自由权矩阵和等价的描述系统形式,针对所考虑的系统建立了一个时滞相关的指数稳定性准则.该准则以线性矩阵不等式的形式给出,能够很容易地用Matlab工具箱LMI进行检验.此外,所得到的结论不需要激励函数的单调性且变时滞的导函数只要有上界结论就可以成立,这拓展和发展了现有的一些结论.最后通过2个数值例子说明了所得结论的有效性.
Considering the exponential stability of a class of neural networks with time-varying and continuous distributed delays, a time delay is established for the system under consideration by introducing the Lyapunov-Krasovskii functional, the free-weight matrix and the equivalent description system. Which is given in the form of linear matrix inequalities and can be easily verified by the Matlab Toolbox LMI.In addition, the conclusion obtained does not require the monotonicity of the excitation function and the derivative of the time delay As long as the conclusion of the upper bound can be established, it expands and develops some of the existing conclusions. Finally, two numerical examples are given to illustrate the validity of the conclusion.