Abstract
The sub-optimal Hankel norm approximation problem is solved under the assumptions that the system is given in terms of a triple of operators (−A, B, C), where−A is the infinitesimal generator of an exponentially stable, analytic semigroup on the Hilbert spaceZ,B ∈L (ℂm,Z α where −1<α≤0,C ∈L is obtained in terms of the system parameters−A, B, C. (Z, ℂp), and the system is approximately controllable. An explicit parameterization of all solutions
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Sasane, A.J., Curtain, R.F. Sub-optimal Hankel norm approximation for the analytic class of infinite-dimensional systems. Integr equ oper theory 43, 356–377 (2002). https://doi.org/10.1007/BF01255569
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DOI: https://doi.org/10.1007/BF01255569