Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (2): 211-217.
王志珍1, 王龙1, 郁文生2
收稿日期:
2000-06-30
修回日期:
2001-09-18
出版日期:
2002-02-18
发布日期:
2002-02-18
基金资助:
WANG Zhi-zhen1, WANG Long1, YU Wen-sheng2
Received:
2000-06-30
Revised:
2001-09-18
Online:
2002-02-18
Published:
2002-02-18
Supported by:
摘要: For an uncertain system described by convex combination of interval polynomials, its Hurwitz-stability can be guaranteed by certain subset composed of vertices and edges. Furthermore, the testing set does not increase when the order of given system increases.
中图分类号:
王志珍;王龙;郁文生. STABILITY AND STRICT POSITIVE REALNESS OF CONVEX POLYTOPES OF INTERVAL POLYNOMIALS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(2): 211-217.
WANG Zhi-zhen;WANG Long;YU Wen-sheng. STABILITY AND STRICT POSITIVE REALNESS OF CONVEX POLYTOPES OF INTERVAL POLYNOMIALS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(2): 211-217.
[1] Kharitonov V L.Asymptotic stability of an equilibrium position of a family of systems of linear differential equations[J].Differential Uravnen,1978,14(10):2086-2088. [2] Bhattacharyya S P,Chapellat H,Keel L H.Robust Control:The Parametric Approach[M].Upper Saddle River:Prentice Hall,1995. [3] Chapellat H,Bhattacharyya S P.A generalization of Kharitonov's theorem:robust stability of interval plants[J].IEEE Transactions on Automatic Control,1989,34(4):306-311. [4] Bartlett A C,Hollot C V,Huang L.Root location of entire polytope of polynomials:it suffices to check the edges[J].Mathematics of Controls,Signals and Systems,1988,1(1):61-71. [5] WANG Long,HUANG Lin.Finite test of SPR for interval rational function[J].Chinese Science Bulletin,1991,36(4):261-264.(in Chinese). |
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