Abstract
In this paper a solution approach for parametric ℋ2 model reduction based on Gröbner bases is presented. The approach utilizes a naïve parametrization of the approximant, which leads to a rather simple set of algebraic equations that is solved by means of Gröbner bases. This allows one to deal with the parametric case, and analysis of the optimal solution in the presence of parameters becomes possible. Numerical examples show that the optimal approximant may change discontinuously as a parameter value varies, also showing the existence of systems with two optimal approximants.
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