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題名 | Sufficient Conditions for Stability of Large-scale Systems=大型系統穩定之充分條件 |
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作者姓名(中文) | 陳金塔; 陳慶和; | 書刊名 | 筧橋學報 |
卷期 | 2 1995.09[民84.09] |
頁次 | 頁389-397 |
分類號 | 448.51 |
關鍵詞 | 集中式控制; 對角矩陣; 正定實對稱矩陣; 漸近穩定; Centralized control; Diagonal matrix; Positive-definite real symmetric matrix; Asymptotically stable; |
語文 | 英文(English) |
中文摘要 | 基於相似轉換和李阿普諾夫穩定定理,提出一種對於大型系統穩定之充分條件。 開始時,使用相似轉換得到對角矩陣,接著應用李阿普諾夫穩定定理的特性,推導出使大型 系統穩定的充分條件。本文提出的方法毋需解釋李阿普諾夫矩陣方程式,也不需要任何限制 ,最後,由例題來說明以上所提出的方法。 |
英文摘要 | A new sufficient condition for the stability of large-scale systems is presented, based on the similarity transformations and the Lyapunov stability theory. First, the similarity transformations technique is used to get diagonal matrix, and then the properties of Lyapunov stability theory are applied to find a sufficient condition under which the stability of large-scale systems is guaranteed. The approaches presented do not need the solution of Lyapunov matrix equations, and do not impose any restrictions. Finally, examples are given to demonstrate the merit of the proposed method. |
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