%0 Journal Article
%T Definiteness of Multi-Variable Homogeneous Polynomial<br>多元齐次多项式定号性判别方法
%A Miao Yuan
%A Li Chunwen
%A <br>苗原
%A 李春文
%J 自动化学报
%D 1998
%I 
%X This paper studies definiteness of multi variable homogeneous polynomials.Based on the special character of homogeneous polynomials and ability of modern computers,a digital algorithm was designed to judge the definiteness of homogeneous polynomials.It was also proved that this numeric method is correct in the sense of probability.The algorithm was programmed for judging stability of homogeneous polynomials of three and four variables,and it has a lot of value for finding Lyapunov functions in stability judgment of nonlinear systems.
%K Polynomials
%K definiteness
%K algorithm
%K nonlinear systems<br>多项式
%K 定号性
%K 多元齐次多项式
%K 李亚普诺夫函数
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=E76622685B64B2AA896A7F777B64EB3A&aid=4F28CE06BCE17D7C&yid=8CAA3A429E3EA654&vid=B91E8C6D6FE990DB&iid=E158A972A605785F&sid=92DA076AF6760FAC&eid=8C044EC256B1039D&journal_id=0254-4156&journal_name=自动化学报&referenced_num=0&reference_num=6