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Admissibility of observation functionals. (English) Zbl 0837.93005
The concept of infinite-time admissibility of unbounded observation functionals is introduced. Under the assumption of exponential stability of the semigroup, it is equivalent to finite-time admissibility recently investigated by Weiss. Necessary and sufficient criteria for admissibility are given. In particular, it is shown that the Ho-Russell- Weiss test for admissibility of observation functionals/control vectors can be derived in an elementary way without invoking the geometric interpretation of the Carleson measure, while the criterion by Weiss can easily be deduced from the Carleson embedding theorem. Some practically applicable sufficient conditions guaranteeing admissibility are discussed in Section 3. The results are illustrated by a feedback system containing an RLCG transmission line.

93B07 Observability
93C25 Control/observation systems in abstract spaces
Full Text: DOI
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