State Space Formulas for a Solution of the Suboptimal Nehari Problem on the Unit Disc |
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| Authors: | Ruth F Curtain Mark R Opmeer |
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| Institution: | (1) Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV Groningen, The Netherlands;(2) Department of Mathematical Sciences, University of Bath, Claverton Down, Bath, BA2 7AY, United Kingdom |
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| Abstract: | We give state space formulas for a (“central”) solution of the suboptimal Nehari problem for functions defined on the unit
disc and taking values in the space of bounded operators in separable Hilbert spaces. Instead of assuming exponential stability,
we assume a weaker stability concept (the combination of input-, output- and input-output stability), which allows us to solve
the problem for general H-infinity functions.
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| Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) Primary 47B35 Secondary 41A30 47N70 93B28 |
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