本論文係研究正向系統之穩定性分析及穩定化控制設計，研究的範疇為連續時間系統。針對正向性與穩定性問題，推導出新的充份與必要條件，基於此條件設計出狀態回授控制器，便可保證系統之正向與穩定性。並以前述之分析結果，利用線性歸劃方法來尋找控制器參數。再套用輸出回授控制器設計，以獲得更大的穩定範圍。最後以實際的正向系統為例，設計系統回授控制器與輸出回授控制器，討論補償前與補償後系統穩定範圍之差異，經由模擬結果顯示，所設計的控制器是有效且適用的。;This thesis is concerned with stability and stabilization of interval systems with the positivity constraints. Continuous-time system is discussed. For positive and stability analysis problems of systems, we derive some new sufficient and necessary conditions. Then based on these conditions, a linear programming method is applied to design controllers. Then use the output feedback to obtain wider Stability range. A compartmental systems is given to demonstrate the effectiveness and applicability of the proposed methods.
