The Robust Stability for Interval-Polynomial  

区间多项式的鲁棒稳定性(英文)

作　　者：荆海英[1] 谢绪恺[1] 韩大伟 

机构地区：[1]东北大学数学系,辽宁沈阳110006

出　　处：《Journal of Mathematical Research and Exposition》2002年第3期413-417,共5页数学研究与评论（英文版）

基　　金：Supported by the Fund of China Education Ministry.

摘　　要：In this paper, a new stability criterion for positive-coefficient polynomial is given. Then the problem about the robust stability for an interval-polynomial is investigated and some new stability criterions for interval-polynomials are obtained. The coefficient perturbation bound for stable interval polynomial can be completely determined by the coefficients of polynomial (1.1). So the conclusions of this paper are simple and useful. Several examples in the end of this paper show that the criterions given in this paper are effective.本文首先给出了一种新的判定多项式稳定的充要条件（引理2.1）.然后,在此基础上,研究了区间多项式的鲁棒稳定性,得到了若干判别区间多项式的充分条件（定理2.2-定理2.3）.由于所得的摄动界完全可由原末被扰动的多项式的系数所决定,这使得本文的方法比现有的结果简单好用.文末的例子说明了本文方法的有效性.

关 键 词：polynomial stability interval polynomial Robust stability perturbed co-efficients. 

分 类 号：O174.14[理学—数学]