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タイトル: | Zeros and Poles of Linear Continuous-Time Periodic Systems: Definitions and Properties |
著者: | Zhou, Jun |
キーワード: | Continuous-time periodic system Floquet factorization harmonic transfer operator zero and pole |
発行日: | Oct-2008 |
出版者: | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
誌名: | IEEE TRANSACTIONS ON AUTOMATIC CONTROL |
巻: | 53 |
号: | 9 |
開始ページ: | 1998 |
終了ページ: | 2011 |
抄録: | The paper deals with definitions of zeros and poles and their features in finite-dimensional linear continuous-time periodic (FDLCP) systems under a harmonic framework. More precisely, system and transfer zeros and poles in the harmonic wave-to-wave sense are defined on what we call the regularized harmonic system operators and the harmonic transfer operators of FDLCP systems by means of regularized determinants; then their composition and properties related to system structures are examined via the Floquet theory and controllability/observability decompositions of FDLCP systems. The study shows that under mild assumptions, the harmonic transfer operators of FDLCP systems are analytic and meromorphic, on which zeros and poles are well-defined. Basic zero/pole relationships are established, which are similar to their linear time-invariant counterparts and in particular explicate some interesting harmonic wave-to-wave behaviors of FDLCP systems. The results are significant in analysis and synthesis of FDLCP systems when the harmonic approach is adopted. |
著作権等: | © 2008 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE. |
URI: | http://hdl.handle.net/2433/84549 |
DOI(出版社版): | 10.1109/TAC.2008.929394 |
出現コレクション: | 学術雑誌掲載論文等 |
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