Abstract
This paper addresses the properties of the C0-semigroup generated by the reparable system with finite repair time. In particular, it can be shown that the C0-semigroup is eventually differentiable and eventually compact, which is not true for the case when the repair time is infinite, as discussed in [9] and [11].
Original language | English (US) |
---|---|
Article number | 19758 |
Pages (from-to) | 1614-1625 |
Number of pages | 12 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 433 |
Issue number | 2 |
DOIs | |
State | Published - Jan 15 2016 |
Bibliographical note
Publisher Copyright:© 2015 Elsevier Inc.
Keywords
- C-semigroup
- Eventual compactness
- Eventual differentiability
- Finite repair time
- Reparable system