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題 名 | On the Reachability of a Class of Continuous Bilinear Systems=連續雙線性系統之可至性分析 |
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作 者 | 黃衍任; | 書刊名 | 中國工程學刊 |
卷 期 | 24:5 2001.09[民90.09] |
頁 次 | 頁635-639 |
分類號 | 440.11 |
關鍵詞 | 非線性分析; 雙線性系統; 可至性; Nonlinear analysis; Bilinear systems; Reachability; |
語 文 | 英文(English) |
中文摘要 | 非線性系統之可至性,可以利用微分幾何的定理來檢查。然而這些定理必須運用 Lie Bracket 疊代的運算,而且必須針對狀態空間中的每一個狀態向量做運算及檢查,因此 通常無法在系統特性分析上提供有用的資訊。此論文證明出單階連續雙線性系統的可至性, 將是一整體性的特性,與系統狀態向量無關,並可由兩個矩陣檢查出來。 |
英文摘要 | It is well known that using differential geometric methods, the reachability of nonlinear systems can be checked via Lie algebra. Normally, the resultant checking condition is state dependent and requires complicated recursive Lie bracket operations. In this paper, it is shown that for dyadic bilinear systems, the reachability property is actually state independent, and hence a global property of the system. Specifically, it is proved that the Lie algebra condition is equivalent to the rank conditions of two constant matrices. As examples, the reachability of two real-world systems is examined through the new checking condition. |
本系統中英文摘要資訊取自各篇刊載內容。