复系数多项式凸组合的稳定性检验  

A test for Hurwitz properties of convex combinationof complex polynomials

作　　者：张俊峰[1] 田继安[2] 

机构地区：[1]漯河职业技术学院机电工程系,河南漯河462002 [2]漯河职业技术学院社会发展系,河南漯河462002

出　　处：《周口师范学院学报》2007年第2期40-42,共3页Journal of Zhoukou Normal University

摘　　要：两个给定的同次复系数多项式是Hurwitz稳定的,它们的凸组合是否也是Hurwitz稳定的?本文就此给出了一个检验方法.该方法以结式理论为依据,并应用了Sturm定理,不需求解多项式的根,仅经过有限步的运算就可完成对凸组合的稳定性判别,应用方便.Given that two complex polynomials of the same degree are Hurwitz, a test based on the application of the resultant theory and Sturm＇s theorem is advanced to determine whether the set formed from the convex combination of the two polynomials is also Hurwitz. The presented method is easy to implement. Moreover, it accomplishes the test in a finite number of arithmetic operations without having to invoke any numerical root-finding procedure.

关 键 词：复系数多项式 凸组合 鲁棒稳定性 

分 类 号：O231[理学—运筹学与控制论]