关于一类多项式族的鲁棒稳定性研究

On Robust Stability of a Class of Polynomial Families

本文对包括区间多项式族和菱形多项式族的一类多项式族的鲁棒稳定性进行了研究.我们给出并证明了其中几个可用有限检验来判断的多项式族的Hurwitz稳定的实例;同时举例说明了有限检验对所有这一类多项式族并不总是可行的.

In this paper we discuss i-he robust stability of a class of polynomir. 1 families more general than the interval polynomial family and diamond polynomial family. We prove that the HiU'witz stability of some special cases of this class of polynomial families can be determined by chocking finite polynomials. We also give an Rx?.mple to illustrate that it is not always, possible to determine the Hur-witz stability of all this class of polynomial families by checking finite polynomials.