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題 名 | Parametric Nevanlinna-Pick Interpolation Theory=參數化之Nevanlinna-Pick插值理論 |
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作 者 | 葉芳柏; 林見昌; 黃皇男; | 書刊名 | Proceedings of the National Science Council : Part A, Physical Science and Engineering |
卷 期 | 22:6 1998.11[民87.11] |
頁 次 | 頁723-733 |
分類號 | 319.9 |
關鍵詞 | 參數化; 插值理論; Nevanlinna-pick interpolation; Pick matrix; Uncertainty; Robust control; |
語 文 | 英文(English) |
中文摘要 | 本篇報告推導參數型 Nevanlinna-Pick 插值問題解存在之充要條件;此一理論推 廣了標準型 H �� Nevanlinna-Pick 插值理論。若是對區間型之參數變化,這一條件顯示吾 人只要檢查區間之邊界點上之Pick 矩陣是否為正定, 即可決定相對應之 Nevanlinna-Pick 插值問題之解的存在與否。 這結果與強健 H �控惆豰z論中之 Edge Box 或 Kharitonov 定 理是相似的。 |
英文摘要 | We consider the robust control problem for the system with real uncertainty. This type of problem can be represented with some parameters varying between the boundaries and is formulated as parametric Nevanlinna-Pick interpolation problem in this paper. The existence of a solution for such interpolation problem depends on the positivity of the corresponding Pick matrix with elements belonging to certain intervals. The associated necessary and sufficient condition is proved so that we only need to check the positivity of the Pick matrix evaluated at the end points of such intervals instead of for the whole intervals. This result is similar to the Kharitonov theorem or edge box theorem in the robust control theory. |
本系統中英文摘要資訊取自各篇刊載內容。