篇名 | On the Root Clustering for Discrete Interval Systems Subjected to Multiple Time Delays |
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卷期 | 23 |
並列篇名 | 具有多重時延之間時性區間系統的根叢集分析 |
作者 | 李建華 |
頁次 | 117-131 |
關鍵字 | 根叢集 、 區間系統 、 時延 、 強健穩定性 、 D-穩定性 、 Root clustering 、 Interval system 、 Time delay 、 Robust stability 、 D-stability |
出刊日期 | 201012 |
本論文首次對具有多重時延之間時性區間系統探討其根叢集。文中利用線性代數相關定理,導出範數和矩陣量測技巧估測出一些上述系統所有特徵值所落於複數平面上的區域。由這些獲得的結果亦可推導出上述系統的強健穩定性分析。最後,我們以數值範例來展示所獲得結果的應用性。
The problem of root clustering for discrete interval systems with multiple time delays is first addressed in this paper. By utilizing some linear algebraic theorems, induced norm, and matrix measure techniques, several restricted regions in the complex plane in which all eigenvalues of the mentioned systems are located inside are estimated. According to these present results, the robust stability conditions are also developed. Finally, numerical examples are given to demonstrate the applicability of the proposed schemes.