具连续分布时滞的抛物型系统的指数镇定

Global exponential stabilization for parabolic type systems with continuously distributed delays

针对一类具分布时滞的抛物型控制系统,提出一种新的镇定设计方法.利用推广的向量Hanalay微分不等式、Dini导数、结合Green公式及不等式分析技术,在线性反馈控制律的作用下,导出了具分布时滞的抛物型控制系统的镇定的新判据.该镇定性条件不依赖于时滞.最后给了一个算例说明所得结果的可行性.此外,该方法一个明显的优点是所得的镇定性条件容易验证,因而便于应用.

A sort of new method is put forward which is not similar to existing methods for a class of parabolic type systems with timevarying delays. By employing generalized Halanay＇ s inequality, Dini derivative and the technique of differential inequality, a sufficient condition for the type of stabilization are derived. The stabilization criteria are delay-independent. A computation example is given to illustrate the proposed method. In addition, the distinct advantage of the method is that the criterions in the paper are easy to be checked, and can be applied in practice easily.