多项式凸多面体的稳定性及严格正实性

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基金项目: 国家自然科学基金资助项目(69925307)

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

摘要: 对于由区间多项式的凸组合描述的不确定系统,它的Hurwitz稳定性可由某个仅由顶点和棱边构成的子集来保证,且此集合的大小与系统的维数无关。
- 区间多项式 /
- 多项式凸多面体 /
- Hurwitz-稳定性 /
- 值集
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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