臺灣博碩士論文加值系統

本論文旨在針對不確定離散系統特性方程式根提出其環形邊界的上下界，其上下界可由特定多項式最大非負零點獲得。最後，吾人將輔以實例，來驗證這環形邊界，並說明其結果較之前的相關文獻更不保守。

In this thesis, we provide the annular bound, i.e., lower and upper circular bound, for the roots of characteristic equations of uncertain discrete systems. Such an annular bound can be easily obtained by estimating the largest nonnegative zero of the specific polynomial. Two examples are also provided to show that the proposed annular bound is less conservative than the existing one reported recently.

目錄
致謝...................................................i
中文摘要...............................................ii
英文摘要...............................................iii
目錄...................................................iv
圖目錄.................................................vii
第一章 引言
1.1 概論.................................1
1.2 符號定義.............................2
第二章 定義與定理
2.1 離散時間系統與z轉換...........................3
2.1.1 離散時間系統................3
2.1.2 z轉換之定義.................5
2.1.3 z轉換之性質.................7
2.1.4 差分方程式之解..............12
2.1.5 模擬圖與訊號流程圖..........16
2.1.6 特性方程式..................19
2.2 穩定性的定義.........................20
2.2.1 非時變系統穩定性的定........20
2.2.2 時變系統穩定性的定..........21
2.2.3 均勻穩定....................22
2.2.4 局部穩定與全域穩定..........23
2.3 穩定性測試...........................24
2.3.1 Jury穩定性測試..............24 2.4 多項式理論...........................26
2.5 環形界限.............................29
2.6 Descarter 法則.......................31
2.7 Newton 法 ............................32
2.7.1 Newton 法簡.................32
2.7.2 Newton 法收斂...............33
第三章 主要定理
3.1 系統描述.............................34
3.2 主要定理.............................36
第四章 範例模擬
4.1 範例一...............................39
4.2 範例二...............................42
第五章 結論以及未來研究方向
5.1 結論.................................45
5.2 未來研究方...........................45
參考文獻...............................................48

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