在这篇论文,全球 asymptotic 稳定性与变化时间、分布式的延期为 Cohen-Grossberg 神经网络的一个班被调查。由使用功能的 Lyapunov-Krasovskii 和考虑系统的相等的描述符形式,几延期依赖者足够的条件被获得保证探讨的系统的 asymptotic 稳定性。这些条件依赖于变化时间、分布式的延期并且以 LMI 介绍并且因此,如此的系统的稳定性标准能被诉诸 Matlab LMI 工具箱乐意地检查。最后,一个例子被给显示出有效性和建议方法的更少的保守主义。
In this paper, the global asymptotic stability is investigated for a class of Cohen-Grossberg neural networks with time-varying and distributed delays. By using the Lyapunov-Krasovskii functional and equivalent descriptor form of the considered system, several delay-dependent sufficient conditions are obtained to guarantee the asymptotic stability of the addressed systems. These conditions are dependent on both time-varying and distributed delays and presented in terms of LMIs and therefore, the stability criteria of such systems can be checked readily by resorting to the Matlab LMI toolbox. Finally, an example is given to show the effectiveness and less conservatism of the proposed methods.