تقرير
Zero-class admissibility of observation operators
| العنوان: | Zero-class admissibility of observation operators |
|---|---|
| المؤلفون: | Jacob, B., Partington, J. R., Pott, S. |
| سنة النشر: | 2008 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Functional Analysis, Mathematics - Optimization and Control, 93B07, 93B28 (Primary) 47D06, 47N70 (Secondary) |
| الوصف: | 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. Comment: 12 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/0810.0972 |
| رقم الأكسشن: | edsarx.0810.0972 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |