Admissibility of Control and Observation Operators for Semigroups: A Survey

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On continuity of solutions for parabolic control systems and input-to-state stability (2017, background): “However, the question for Hilbert spaces U and X was the starting point of intensive research around what has become known as the Weiss conjecture, see [15,33] for surveys.”
Maximal Controllability for Boundary Control Problems (2010, background): “Other approaches are due to G. Weiss [45], who uses his concept of admissibility (see the survey article by Jacob–Partington [ 23 ] and the monograph by O.J.”