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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 容志輝(Chee-Fai Yung) | |
| dc.contributor.author | Wei-Chiao Hsu | en |
| dc.contributor.author | 許惟喬 | zh_TW |
| dc.date.accessioned | 2021-06-15T13:36:36Z | - |
| dc.date.available | 2017-02-16 | |
| dc.date.copyright | 2016-02-16 | |
| dc.date.issued | 2015 | |
| dc.date.submitted | 2016-01-27 | |
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/51502 | - |
| dc.description.abstract | 本文透過兩個퐻∞型態的「廣義代數黎卡提方程」將「H∞平衡截斷法」推廣至探討連續時間線性微分代數方程(描述子系統)的模型簡化問題，文中亦估算出了經H∞平衡截斷後的簡化系統與原系統以「間隙度量」為距離之精確誤差；而本文另一大重點為導出了「零D定理」，指出了在連續時間線性描述子系統中，任一給定的線性描述子系統(其D不為零)，皆可以等價為另一個(D為零)之線性描述子系統。 | zh_TW |
| dc.description.abstract | In this paper, by two H∞ generalized algebraic Riccati equations ,we generalize the method of H∞ balanced truncation to the problem of model reduction of linear
time-invariant continuous-time differential-algebraic equations (descriptor systems) and we also derive the error of between the reduced system and the original system by using the so-called gap metric. On the other hand, we give and prove a new theorem, Zero-D theorem. According to this theorem, for any given linear time-invariant continuous-time descriptor system with D ≠ 0, it can be equivalent to another linear time-invariant continuous-time descriptor system with D = 0. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-15T13:36:36Z (GMT). No. of bitstreams: 1 ntu-104-R01221017-1.pdf: 1306418 bytes, checksum: c798bd5918b3930080259eba73e10800 (MD5) Previous issue date: 2015 | en |
| dc.description.tableofcontents | 口試委員會審定書 i
誌謝 ii 中文摘要 iii 英文摘要 iv 1 Introduction 1 2 Notations and Control Theoretic Preliminaries 5 3 Zero-D Theorem 9 4 Generalized Algebraic Riccati Equations of H∞ type 12 5 Normalized Coprime Factorization Constructed by Solutions of GAREs 19 6 H∞ Gramians and 퐻∞ Balanced Realizations 23 7 H∞ Balanced Truncation and Truncation Error Estimation 25 8 Numerical Example 28 Bibliography 31 | |
| dc.language.iso | en | |
| dc.subject | 間隙度量 | zh_TW |
| dc.subject | 模型簡化 | zh_TW |
| dc.subject | 描述子系統 | zh_TW |
| dc.subject | 模型簡化 | zh_TW |
| dc.subject | 平衡截斷 | zh_TW |
| dc.subject | 平衡截斷 | zh_TW |
| dc.subject | 廣義代數黎卡提方程 | zh_TW |
| dc.subject | 間隙度量 | zh_TW |
| dc.subject | 零D定理 | zh_TW |
| dc.subject | 微分代數方程 | zh_TW |
| dc.subject | 廣義代數黎卡提方程 | zh_TW |
| dc.subject | 微分代數方程 | zh_TW |
| dc.subject | 零D定理 | zh_TW |
| dc.subject | 描述子系統 | zh_TW |
| dc.subject | Zero-D Theorem | en |
| dc.subject | generalized algebraic Riccati equations | en |
| dc.subject | balanced truncation | en |
| dc.subject | differential-algebraic equation | en |
| dc.subject | descriptor systems | en |
| dc.subject | gap metric | en |
| dc.subject | Zero-D Theorem | en |
| dc.subject | generalized algebraic Riccati equations | en |
| dc.subject | balanced truncation | en |
| dc.subject | differential-algebraic equation | en |
| dc.subject | descriptor systems | en |
| dc.subject | gap metric | en |
| dc.title | 以H-infinity平衡截斷法研究微分代數系統 | zh_TW |
| dc.title | H-infinity Balanced Truncation Method for Model Reduction of Differential-Algebraic Systems | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 104-1 | |
| dc.description.degree | 碩士 | |
| dc.contributor.coadvisor | 張志中(Chih-Chung Chang) | |
| dc.contributor.oralexamcommittee | 黃皇男(huang-nan huang) | |
| dc.subject.keyword | 廣義代數黎卡提方程,平衡截斷,微分代數方程,描述子系統,模型簡化,間隙度量,零D定理, | zh_TW |
| dc.subject.keyword | generalized algebraic Riccati equations,balanced truncation,differential-algebraic equation,descriptor systems,gap metric,Zero-D Theorem, | en |
| dc.relation.page | 33 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2016-01-27 | |
| 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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