Optimal time-variant systems and factorization of operators, I: Minimal and optimal systems |
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| Authors: | D Z Arov M A Kaashoek D R Pik |
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| Institution: | (1) Faculteit der Wiskunde en Informatica, De Boelelaan 1081 a, 1081 HV Amsterdam, The Netherlands;(2) Department of Mathematics, South-Ukrainian Pedagogical University, 270020 Odessa, Ukraine |
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| Abstract: | For a contractive block lower triangular operatorT optimal and star-optimal time-variant dissipative scattering realizations are introduced and their main properties are derived by state space considerations only. Two constructions of minimal and optimal realizations are given. |
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| Keywords: | primary 47A48 93A25 secondary 47A45 |
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