不确定时滞分布参数系统的指数稳定性

Exponential stability of distributed parameter systems with uncertain time delay

文章通过构造恰当的Lyapunov泛函,利用线性矩阵不等式方法和其它不等式技巧对含有不满足匹配条件的不确定时滞分布参数系统进行了指数稳定性的研究,给出了系统指数稳定的充分条件,具体数值例子说明了该方法的有效性和适用性。

This paper investigates the exponential stability of distributed parameter systems with mismatched uncertain time delay.By means of constructing the appropriate Lyapunov functionals and employing linear matrix inequality（LMI） and other matrix inequality technologies,sufficient condition to guarantee the exponential stability is obtained.A numerical example is given to illustrate the effectiveness and applicability of the proposed method.