Stability and Strict Positive Realness of Convex Polytopes of Interval Polynomials

WANG Zhi-zhen; WANG Long; YU Wen-sheng

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(2): 195-200

WANG Zhi-zhen, WANG Long, YU Wen-sheng. Stability and Strict Positive Realness of Convex Polytopes of Interval Polynomials[J]. Applied Mathematics and Mechanics, 2002, 23(2): 195-200.

Citation:

WANG Zhi-zhen, WANG Long, YU Wen-sheng. Stability and Strict Positive Realness of Convex Polytopes of Interval Polynomials[J]. Applied Mathematics and Mechanics, 2002, 23(2): 195-200.

Citation:

WANG Zhi-zhen, WANG Long, YU Wen-sheng. Stability and Strict Positive Realness of Convex Polytopes of Interval Polynomials[J]. Applied Mathematics and Mechanics, 2002, 23(2): 195-200.

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Stability and Strict Positive Realness of Convex Polytopes of Interval Polynomials

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 Date: 2000-06-30
Rev Recd Date: 2001-09-18
Publish Date: 2002-02-15

Abstract

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. Fur thermore, the testing set does not increase when the order of given system increases.
- interval polyno mials,
- convex combination of polynomials,
- Hur witz-stability,
- value set

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References(5)

References

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