# A frequency domain solution to the sub-optimal Hankel norm approximation problem

A.J. Sasane, R.F. Curtain

Research output: Book/ReportReportProfessional

## Abstract

An elementary proof is presented for sufficient conditions for the existence of a solution to the sub-optimal Hankel norm approximation problem for the class of matrix-valued continuous functions defined on the imaginary axis with limit $\;0\;$ at $\;\pm \infty\;$ in terms of a solution to a certain $\;J-$spectral factorization problem. All solutions are parameterized in terms of the $\;J-$spectral factor.
Original language English Enschede University of Twente, Faculty of Mathematical Sciences 22 0169-2690 Published - 2002

### Publication series

Name Memorandum Department of Applied Mathematics, University of Twente 1653 0169-2690

## Keywords

• METIS-211627
• MSC-93C25
• MSC-47N70
• MSC-47A57
• EWI-3473
• IR-65839

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