Reachable states for infinite-dimensional linear systems: old and new
Marius Tucsnak
Institut de Mathématiques de Bordeaux, Université de Bordeaux, 351, Cours de la Libération – F 33 405 Talence, France
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Abstract
This work describes some recent results on the reachable spaces for infinite dimensional linear time invariant systems. The focus is on systems described by the constant coefficients heat equation, when the question is shown to be intimately connected to the theory of Hilbert spaces of analytic functions.