%0 Journal Article
%T SOME DISCUSSIONS ON KHARITONOV''S THEOREM<br>Kharitonov 定理的若干讨论
%A WANG LONG
%A HUANG LIN
%A <br>王龙
%J 系统科学与数学
%D 1992
%I 
%X This paper presents some proofs of Kharitonov's theorem and its generalized version,andmakes some comparisons among them.By resorting to the concept of positive pair of polyno-mials,we give a quite simple proof of Kharitonov's theorem.We naturally verify the general-ized Kharitonov's theorem by introducing the so-called Kharitonov's combination.A Nyquist-typeproof of the generalized version is also given,which is the simplest proof appeared in litera-ture so far.The proofs of the generalized version can easily be reduced to the proofs of theoriginal theorem.These proofs provide some insights into the intrinsic characteristics ofKharitonov's theorem.
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=0CD45CC5E994895A7F41A783D4235EC2&aid=87B357EB4E52DF615250D405BD3818D2&yid=F53A2717BDB04D52&vid=59906B3B2830C2C5&iid=E158A972A605785F&sid=F50A8B5513721E1C&eid=D0182A31A5EB14BA&journal_id=1000-0577&journal_name=系统科学与数学&referenced_num=2&reference_num=0