臺灣博碩士論文加值系統

本論文使用狀態變數切換法則及時間停留切換法則，針對時間延遲大型切換系統做穩定性的探討。其中，使用狀態變數切換法則，是依據李亞普諾穩定定理，導出三種穩定條件，其穩定條件，適用於所有的獨立系統均可以不穩定。而使用時間停留切換法則，是依據狀態變數響應，求出停留在穩定的獨立系統的總時間與停留在不穩定的獨立系統的總時間之比值，以保證整個時間延遲大型切換系統是穩定，其結果有與時間延遲無關及與時間延遲有關的二種準則。

The stability analyses of time-delay large-scale switched systems are investigated in this thesis. Two important methods are used to construct the switching laws for the stability analyses of time-delay large-scale switched systems. One is the state variable switched method; the other is the dwell-time switched method. Essentially, the former is that there exists state switching strategy to make the whole system stable when all the individual subsystems are unstable by means of Lyapunov stability theorem. The latter is that the total activation time ratio of stable subsystems to unstable systems will be also determined via the state solution, and the sufficient stability conditions will be derived for the time-delay large-scale switched systems with delay-independent criteria and delay-dependent criteria.

目　　錄
中文摘要 I
英文摘要 II
致謝 III
目錄 IV
圖目錄 VI

第一章 緒論 1
1-1. 研究動機與文獻回顧 1
1-2. 主要貢獻 4
1-3. 論文架構 4
第二章 時間延遲大型切換系統之穩定性研究：狀態變數切換法則 5
2-1. 簡介 5
2-2. 系統介紹與問題描述 5
2-3. 時間延遲大型切換系統之穩定條件 9
2-4. 例題 20
2-5. 結論 22
第三章 與時間延遲無關的時間延遲大型切換系統之穩定性研究：時間切換法則
28
3-1. 簡介 28
3-2. 系統介紹與問題描述 28
3-3. 與時間無關的穩定條件 30
3-4. 例題 35
3-5. 結論 37
第四章 與時間延遲有關的時間延遲大型切換系統之穩定性研究：時間切換法則
44
4-1. 簡介 44
4-2. 系統介紹與問題描述 44
4-3. 與時間有關的穩定條件 46
4-4. 例題 51
4-5. 結論 53
第五章 結論與未來研究 60
5-1. 結論 60
5-2. 未來研究 60
參考文獻 62

圖 目 錄

圖2-1 定理2.3中的 和 範圍 23
圖2-2 定理2.5中的 和 範圍 23
圖2-3a 獨立系統1的狀態響應 24
圖2-3b 獨立系統2的狀態響應 24
圖2-3c 獨立系統3的狀態響應 25
圖2-4a 狀態 的狀態響應 25
圖2-4b 狀態 的狀態響應 26
圖2-4c 狀態 的狀態響應 26
圖2-5 [1, 1.1]秒的切換結果 27
圖3-1a 獨立系統1 之狀態 的狀態響應 38
圖3-1b 獨立系統1 之狀態 的狀態響應 38
圖3-1c 獨立系統1 之狀態 的狀態響應 39
圖3-2a 獨立系統2 之狀態 的狀態響應 39
圖3-2b 獨立系統2 之狀態 的狀態響應 40
圖3-2c 獨立系統2 之狀態 的狀態響應 40
圖3-3a 獨立系統3 之狀態 的狀態響應 41
圖3-3b 獨立系統3 之狀態 的狀態響應 41
圖3-3c 獨立系統3 之狀態 的狀態響應 42
圖3-4a 時間延遲大型切換系統(3.26)之 的狀態響應 42
圖3-4b 時間延遲大型切換系統(3.26)之 的狀態響應 43
圖3-4c 時間延遲大型切換系統(3.26)之 的狀態響應 43
圖4-1a 獨立系統1 之狀態 的狀態響應 54
圖4-1b 獨立系統1 之狀態 的狀態響應 54
圖4-1c 獨立系統1 之狀態 的狀態響應 55
圖4-2a 獨立系統2 之狀態 的狀態響應 55
圖4-2b 獨立系統2 之狀態 的狀態響應 56
圖4-2c 獨立系統2 之狀態 的狀態響應 56
圖4-3a 獨立系統3 之狀態 的狀態響應 57
圖4-3b 獨立系統3 之狀態 的狀態響應 57
圖4-3c 獨立系統3 之狀態 的狀態響應 58
圖4-4a 時間延遲大型切換系統(4.29)之 的狀態響應 58
圖4-4b 時間延遲大型切換系統(4.29)之 的狀態響應 59
圖4-4c 時間延遲大型切換系統(4.29)之 的狀態響應 59

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