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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳榮凱 | |
| dc.contributor.author | Chee-Fai Yung | en |
| dc.contributor.author | 容志輝 | zh_TW |
| dc.date.accessioned | 2021-06-08T04:23:33Z | - |
| dc.date.copyright | 2010-07-05 | |
| dc.date.issued | 2010 | |
| dc.date.submitted | 2010-06-28 | |
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Zaborszky, Local Bifurcations and Feasibility Regions in Differential-Algebraic Systems, IEEE Transactions on Automatic Control, Vol.AC-40, No. 12, pp. 1992-2013, 1995. 39. G. Verghese, B. C. Levy, and T. Kailath, A Generalized State-Space for Singular Systems, IEEE Transaction on Automatic Control, Vol. AC-26, No. 4, pp. 811-831, 1981. 40. H. S. Wang, C. F. Yung, and F. R. Chang, H∞ Control for Nonlinear Descriptor Systems, Lecture notes in control and information sciences, Berlin; Springer-Verlag, 2006. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/22653 | - |
| dc.description.abstract | 本論文探討矩陣束之重要幾何結構， 包括正規性、 特徵結構、 因果性等。 論文中亦探討回授允當化問題， 並研究線性離散時間描述子系統之Lyapunov理論。 文中並推導Lyapunov方程式對稱解及一般解存在之充分且必要條件， 並求出所有對稱解及一般解之表示式， 最後並舉兩個數值例子說明。 | zh_TW |
| dc.description.abstract | 英文摘要 In this thesis we present geometric characterizations of fundamental properties of matrix pencils, such as regularity, eigenstructure and causality. We also deal with the feedback admissibilization problem and develop Lyapunov theory for linear discrete-time descriptor systems. Necessary and sufficient conditions are presented for the existence of a hermitian solution and general non-hermitian solution of Lyapunov equation. Explicit formulae, expressed in terms of the geometry of the underlying pencil, for all hermitian solutions and general non-hermitian solutions of the Lyapunov equation are also given. Finally, numerical examples are given for illustration. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-08T04:23:33Z (GMT). No. of bitstreams: 1 ntu-99-R95221024-1.pdf: 632447 bytes, checksum: 1b9e823622a68a04c4c5a2b489b99471 (MD5) Previous issue date: 2010 | en |
| dc.description.tableofcontents | Contents
List of Figures vii Nomenclature ix 1 Introduction 1 1.1 Why Descriptor Systems? 1 1.2 Why Geometric Approach? 9 1.3 Organization of the thesis 10 2 Matrix Pencils 13 2.1 Geometry 13 2.2 Regularity 15 2.3 Eigenstructure 23 2.4 Causality 27 3 Feedback 35 3.1 Regularizability 36 3.2 Non-Causality Controllability and Observability 38 3.3 Stability, Stabilization and Detectability 39 3.4 Admissibility 42 4 Lyapunov Theory 47 4.1 Hermitian Solutions 55 4.2 General Solutions 69 4.3 Numerical Examples 75 5 Conclusions 93 Bibliography 95 | |
| dc.language.iso | en | |
| dc.subject | 回授允當化問題 | zh_TW |
| dc.subject | 矩陣束之幾何結構 | zh_TW |
| dc.subject | 線性離散時間描述子系統 | zh_TW |
| dc.subject | Lyapunov理論 | zh_TW |
| dc.subject | Geometry of matrix pencils | en |
| dc.subject | feedback admissibilization problem | en |
| dc.subject | Lyapunov theory | en |
| dc.subject | linear discrete-time descriptor systems | en |
| dc.title | 矩陣束之幾何結構及其在線性離散時間描述子系統之應用 | zh_TW |
| dc.title | Geometry of Matrix Pencils with Applications to Linear Discrete-Time Descriptor Systems | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 98-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 葉芳柏,林文偉,蔡炎龍 | |
| dc.subject.keyword | 矩陣束之幾何結構,線性離散時間描述子系統,Lyapunov理論,回授允當化問題, | zh_TW |
| dc.subject.keyword | Geometry of matrix pencils,linear discrete-time descriptor systems,Lyapunov theory,feedback admissibilization problem, | en |
| dc.relation.page | 100 | |
| dc.rights.note | 未授權 | |
| dc.date.accepted | 2010-06-28 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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