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タイトル: | A Study on the Spectrum of the Sampled-Data Transfer Operator with Application to Robust Exponential Stability Problems |
著者: | Hagiwara, Tomomichi https://orcid.org/0000-0002-9212-9551 (unconfirmed) |
キーワード: | sampled-data system spectral analysis robust stability L2-stability exponential stability |
発行日: | 22-Aug-2005 |
出版者: | Society for Industrial and Applied Mathematics |
誌名: | SIAM Journal on Control and Optimization |
巻: | 44 |
号: | 1 |
開始ページ: | 313 |
終了ページ: | 327 |
抄録: | This paper begins by studying some spectral properties of the transfer operators of sampled-data systems described by applying the lifting technique. Through a "nonasymptotic" characterization of the transfer operator, its spectrum is determined in terms of finite-dimensional eigenvalue problems. Then, it is shown that a close connection with such eigenvalue problems and the exponential stability condition can be exploited to study the robust internal (exponential) stability problem of sampled-data systems. Since the transfer operator is relevant to input-output characteristics, the relationship between input-output stability and internal stability is also discussed in the context of sampled-data systems. |
著作権等: | © 2005 Society for Industrial and Applied Mathematics |
URI: | http://hdl.handle.net/2433/194120 |
DOI(出版社版): | 10.1137/S036301290343682X |
出現コレクション: | 学術雑誌掲載論文等 |
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