摘要
研究了一类中立型时滞系统的指数稳定性问题,首先将中立型系统转化为广义系统,然后利用Lyapunove-Krasovskii泛函以及LMI的方法得到一个系统指数稳定性的一个充分条件.文中最后的实例表明此种方法较其它方法相比具有较小的保守性.
The problem of exponential stability of a class of neutral systems is studied. At first, neutral systems are transferred into descriptor systems; then, based on both the approach of Lyapunove-Krasovskii functional and the approach of linear matrix inequality, a sufficient condition of the exponential stability for the systems is obtained. Finally, an example is given to demonstrate that the method is less conservative than the existing ones.
出处
《三峡大学学报(自然科学版)》
CAS
2008年第4期99-102,共4页
Journal of China Three Gorges University:Natural Sciences
基金
湖北省教育厅项目(D200613002)
关键词
中立型系统
LMI
指数稳定
neutral systems
linear matrix inequality
exponential stability