A new characterization of invariant subspaces of and applications to the optimal sensitivity problem |
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Authors: | Kenji Kashima Yutaka Yamamoto |
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Affiliation: | Department of Applied Analysis and Complex Dynamical Systems, Graduate School of Informatics, Kyoto University, Kyoto 606-8501, Japan |
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Abstract: | This paper gives a new equivalent characterization for invariant subspaces of H2, when the underlying structure is specified by the so-called pseudorational transfer functions. This plays a fundamental role in computing the optimal sensitivity for a certain important class of infinite-dimensional systems, including delay systems. A closed formula, easier to compute than the well-known Zhou–Khargonekar formula, is given for optimal sensitivity for such systems. An example is given to illustrate the result. |
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Keywords: | Pseudorational transfer function Infinite-dimensional systems Optimal sensitivity H∞ control Beurling– Lax theorem |
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