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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Communicated by LIN Zong-chi
Foundation item: the National Natural Science Foundation of China (69925307)
Biography: WANG Zhi-zhen (1974-)
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Zhi-zhen, W., Long, W. & Wen-sheng, Y. Stability and strict positive realness of convex polytopes of interval polynomials. Appl Math Mech 23, 211–217 (2002). https://doi.org/10.1007/BF02436563
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DOI: https://doi.org/10.1007/BF02436563