@inproceedings{9b0f6de4b09941e782d991841099d1a9,
title = "Asymptotic stability of software systems with rejuvenation policy",
abstract = "Asymptotic stability of software systems with rejuvenation policy is studied. Both partial restart and reboot from crash are considered in gradually deteriorating software systems. An integral-differential mathematical model of software systems is constructed. We show that the system operator generates a positive Co-semigroup of contractions in the state Banach space. Moreover, 0 is an eigenvalue with algebraical multiplicity 1 and it is also a unique spectral point on the imaginary axis. As a result, the asymptotic stability of software systems is then obtained and the steady-state space of the system is spanned by the eigenfunction of eigenvalue 0.",
keywords = "Asymptotic stability, Co-semigroup, Rejuvenation",
author = "Houbao Xu and Junmin Wang",
year = "2007",
doi = "10.1109/CHICC.2006.4347423",
language = "English",
isbn = "7900719229",
series = "Proceedings of the 26th Chinese Control Conference, CCC 2007",
pages = "646--650",
booktitle = "Proceedings of the 26th Chinese Control Conference, CCC 2007",
note = "26th Chinese Control Conference, CCC 2007 ; Conference date: 26-07-2007 Through 31-07-2007",
}