Asymptotic stability of software systems with rejuvenation policy

被引：0
|
作者：
Xu Houbao [1 ]
Wang Junmin [1 ]
机构：
[1] Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China
来源：
PROCEEDINGS OF THE 26TH CHINESE CONTROL CONFERENCE, VOL 2 | 2007年
关键词：
rejuvenation; asymptotic stability; C-0-semigroup;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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 C-0-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.
引用
收藏
页码：646 / +
页数：2
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