Ober, Raimund J. (1987) A parametrization approach to infinite-dimensional balanced systems and their approximation. IMA Journal of Mathematical Control and Information, 4 (4), 263-280. (doi:10.1093/imamci/4.4.263).
Abstract
The problem of generalizing the concept of balanced realizations to infinitedimensional continuous-time systems is considered. The approach taken is based on the generalization of a parametrization of finite dimensional balanced realizations. Using semigroup theory an existence theorem and approximation results are derived.
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