本計畫利用系統化的兩種研究方法,求出離散殊異擾動系統之擾動參數精確穩定度界限。這兩種方法分別屬於時域及頻域,並一致地運用線性分式轉換的架構。在時域方法中使用保護映射理論,在頻域方法中利用特徵值軌跡決定穩定度界限,最後以範例說明,兩種方法的結果是一致的。
The exact stability bound of the parasitic parameter for a discrete-time singularly perturbed system is determined by the linear fractional transformation (LFT) framework. Two systematic approaches including time-domain and frequency-domain methods are proposed to solve this problem based on the unified LFT framework. One employs the Kronecker product of LFTs and guardian map theory. The other is to plot the eigenvalue loci of a real rational function matrix. Two examples are illustrated to show the feasibility of the approaches.