State-space formulas for the Nehari-Takagi problem for nonexponentially stable infinite-dimensional systems
Ball, J. A., Mikkola, K. M. & Sasane, A.
(2005).
State-space formulas for the Nehari-Takagi problem for nonexponentially stable infinite-dimensional systems.
SIAM Journal on Control and Optimization,
44(2), 531-563.
https://doi.org/10.1137/S0363012903433024
(2005).
State-space formulas for the Nehari-Takagi problem for nonexponentially stable infinite-dimensional systems.
SIAM Journal on Control and Optimization,
44(2), 531-563.
https://doi.org/10.1137/S0363012903433024
We obtain state-space formulas for the solution of the Nehari--Takagi/suboptimal 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.