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Extended Jury criterion
Authors:ZHENG BaoDong  LIANG LiJie & ZHANG ChunRui
Institution:ZHENG BaoDong 1,LIANG LiJie 1 & ZHANG ChunRui 2 1 Department of mathematics,Harbin Institute of Technology,Harbin 150001,China,2 Department of mathematics,Northeast Forestry University,Harbin 150040
Abstract:In this paper,algebraic criteria are established to determine whether or not a real coefficient polynomial has one or two pairs of conjugate complex roots whose moduli are equal to 1 and the other roots have moduli less than 1 directly from its coefficients.The form and the function of the criteria are similar to those of the Jury criterion which can be used to determine whether or not all the moduli of the roots of a real coefficient polynomial are less than 1.
Keywords:dynamic system  Jury criterion  conjugate complex roots  
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