THE NEW GEOMETRIC CRITERION OF POLYNOMIAL STABILITY

Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (5): 485-488.

THE NEW GEOMETRIC CRITERION OF POLYNOMIAL STABILITY

王晓君

Department of Mathematics, Huazhong Normal University, Wuhan

收稿日期:1986-09-20 出版日期:1988-05-18 发布日期:1988-05-18

THE NEW GEOMETRIC CRITERION OF POLYNOMIAL STABILITY

Wang Xiao-jun

Department of Mathematics, Huazhong Normal University, Wuhan

Received:1986-09-20 Online:1988-05-18 Published:1988-05-18

摘要/Abstract

摘要： In this paper, we apply the coningacy and boundedness of the zeros for a polynomial f_n(z) with real coefficienta (i=0,1,2,…,n). A new simple geometric criterion for stability of f_n(z) is given which is very convenient for application.

关键词: nonlinear dynamic system, normal form, complex inner product averaging method

Abstract: In this paper, we apply the coningacy and boundedness of the zeros for a polynomial f_n(z) with real coefficienta (i=0,1,2,…,n). A new simple geometric criterion for stability of f_n(z) is given which is very convenient for application.

Key words: nonlinear dynamic system, normal form, complex inner product averaging method

王晓君. THE NEW GEOMETRIC CRITERION OF POLYNOMIAL STABILITY[J]. Applied Mathematics and Mechanics (English Edition), 1988, 9(5): 485-488.

Wang Xiao-jun. THE NEW GEOMETRIC CRITERION OF POLYNOMIAL STABILITY[J]. Applied Mathematics and Mechanics (English Edition), 1988, 9(5): 485-488.

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THE NEW GEOMETRIC CRITERION OF POLYNOMIAL STABILITY

THE NEW GEOMETRIC CRITERION OF POLYNOMIAL STABILITY

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