Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (2): 211-217.

• 论文 • 上一篇    下一篇

STABILITY AND STRICT POSITIVE REALNESS OF CONVEX POLYTOPES OF INTERVAL POLYNOMIALS

王志珍1, 王龙1, 郁文生2   

  1. 1. Department of Mechanics and Engineering Sciences, Peking University, Beijing 100871, P R China;
    2. Institute of Automation, Chinese Academy of Sciences, Beijing 100080, P R China
  • 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:
    the National Natural Science Foundation of China(69925307)

STABILITY AND STRICT POSITIVE REALNESS OF CONVEX POLYTOPES OF INTERVAL POLYNOMIALS

WANG Zhi-zhen1, WANG Long1, YU Wen-sheng2   

  1. 1. Department of Mechanics and Engineering Sciences, Peking University, Beijing 100871, P R China;
    2. Institute of Automation, Chinese Academy of Sciences, Beijing 100080, P R China
  • Received:2000-06-30 Revised:2001-09-18 Online:2002-02-18 Published:2002-02-18
  • Supported by:
    the National Natural Science Foundation of China(69925307)

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.

Abstract: 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.

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