Stability Conditions and a Stabilization Method for Linear Time-Varying Descriptor Systems
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- Inoue Masaki
- Graduate School of Engineering, Osaka University
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- Wada Teruyo
- Graduate School of Engineering, Osaka University
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- Ikeda Masao
- Graduate School of Engineering, Osaka University
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- Uezato Eiho
- Faculty of Engineering, University of the Ryukyus
Bibliographic Information
- Other Title
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- 線形時変ディスクリプタシステムに対する安定条件と安定化法
- センケイジ ヘン ディスクリプタ システム ニ タイスル アンテイ ジョウケン ト アンテイカホウ
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Abstract
This paper proposes stability conditions and a stabilization method for linear time-varying bounded descriptor systems. Two necessary and sufficient conditions are obtained for exponential stability in terms of linear matrix differential inequalities (LMdIs) . Then, one of the stability conditions is utilized to derive a necessary and sufficient condition of an LMdI type for exponential stabilizability, where the stabilizing control law feeds back only the dynamic part of the descriptor variable. A practical method for solving the LMdI is presented to compute a feedback gain. <br>
Journal
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- Transactions of the Institute of Systems, Control and Information Engineers
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Transactions of the Institute of Systems, Control and Information Engineers 22 (9), 315-323, 2009
THE INSTITUTE OF SYSTEMS, CONTROL AND INFORMATION ENGINEERS (ISCIE)
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Keywords
Details 詳細情報について
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- CRID
- 1390282680141463936
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- NII Article ID
- 10026193903
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- NII Book ID
- AN1013280X
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- ISSN
- 2185811X
- 13425668
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- NDL BIB ID
- 10356074
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
- KAKEN
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- Abstract License Flag
- Disallowed
