2014年1月
Quasi-finite-rank approximation of compression operators on L-infinity[0, h) with application to stability analysis of time-delay systems
IET CONTROL THEORY AND APPLICATIONS
- ,
- 巻
- 8
- 号
- 2
- 開始ページ
- 77
- 終了ページ
- 85
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1049/iet-cta.2013.0458
- 出版者・発行元
- INST ENGINEERING TECHNOLOGY-IET
This study discusses a new method for approximating compression operators, which play important roles in the operator-theoretic approach to sampled-data systems and time-delay systems. Stimulated by the success in the application of quasi-finite-rank approximation of compression operators defined on the Hilbert space L-2[0, h), the authors study a parallel problem for compression operators defined on the Banach space L[0, h). In spite of similarity between these problems, they are led to applying a completely different approach because of essential differences in the underlying spaces. More precisely, they apply the idea of the conventional fast-sample/fast-hold (FSFH) approximation technique, and show that the approximation problem can be transformed into such a linear programming problem that asymptotically leads to optimal approximation as the FSFH approximation parameter M tends to infinity. Finally, they demonstrate the effectiveness of the L[0, h)-based approximation technique through numerical examples, with particular application to stability analysis of time-delay systems.
- リンク情報
- ID情報
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- DOI : 10.1049/iet-cta.2013.0458
- ISSN : 1751-8644
- eISSN : 1751-8652
- Web of Science ID : WOS:000328683500001