本論文係研究系統之穩定性分析及穩定化控制設計，研究的範疇包含連續時間與離散時間兩大系統，系統中含有區間不確定量因子，是本文的主要探討。針對穩定性分析問題，而推導出新的條件，基於此條件，搭配狀態迴授來設計控制器，運用線性規劃方法來尋找控制器參數，便可應用於控制系統的穩定度設計上。最後以實際的系統為例，對此系統設計控制器，討論補償前與補償後系統性能的差異，經由模擬結果顯示，所設計的控制器是有效且容易的。

This thesis is concerned with stability and stabilization of interval systems Both continuous-time and discrete-time are discussed. For stability analysis and stabilization problems of those systems, we derive some new conditions. Then based on these conditions, a linear programming method is applied to design controllers. Several examples, including compartmental systems and Leslie systems are given to demonstrate the effectiveness and applicability of the proposed methods.

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