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- W2031736705 abstract "Abstract An admissible observation operator is zero-class admissible if the norm of the output map tends to zero as the time tends to zero. Sufficient and necessary conditions for zero-class admissibility of observation operators are developed and a modified Weiss condition is studied. It is shown that the modified Weiss condition is in general necessary, but not sufficient for zero-class admissibility. For several important classes of C 0 -semigroups it is proved that the modified Weiss condition is indeed equivalent to zero-class admissibility. The methods are illustrated by certain PDE examples." @default.
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- W2031736705 date "2009-06-01" @default.
- W2031736705 modified "2023-09-30" @default.
- W2031736705 title "Zero-class admissibility of observation operators" @default.
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- W2031736705 doi "https://doi.org/10.1016/j.sysconle.2009.01.009" @default.
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