State-Space Formulas for the Nehari--Takagi Problem for Nonexponentially Stable Infinite-Dimensional Systems

@article{Ball2005StateSpaceFF,
title={State-Space Formulas for the Nehari--Takagi Problem for Nonexponentially Stable Infinite-Dimensional Systems},
author={Joseph A. Ball and Kalle M. Mikkola and Amol Sasane},
journal={SIAM J. Control and Optimization},
year={2005},
volume={44},
pages={531-563}
}

We obtain state-space formulas for the solution of the Nehari-Takagi/sub-optimal Hankel norm approximation problem for infinite-dimensional systems with a nonexponentially stable generator, via the method of J-spectral factorization. We make key use of a purely frequency domain solution of the problem. AMS mathematical subject classification numbers: 41A30, 47B35, 47B50, 47N70, 93B28.Â