Asymptotic Stability of Software Systems with Rejuvenation Policy

Author

Houbao, Xu ; Junmin, Wang

Author_Institution

Beijing Inst. of Technol., Beijing

fYear

2007

Firstpage

646

Lastpage

650

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 C_o-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

Banach spaces; asymptotic stability; eigenvalues and eigenfunctions; integro-differential equations; software fault tolerance; eigenfunction; eigenvalue; integral-differential mathematical model; rejuvenation policy; software system asymptotic stability; state Banach space; steady-state space; Application software; Asymptotic stability; Availability; Computer crashes; Eigenvalues and eigenfunctions; Mathematics; Software maintenance; Software reliability; Software systems; Space technology; Asymptotic stability; C0-semigroup; Rejuvenation;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2007. CCC 2007. Chinese

Conference_Location

Hunan

Print_ISBN

978-7-81124-055-9

Electronic_ISBN

978-7-900719-22-5

Type

conf

DOI

10.1109/CHICC.2006.4347423

Filename

4347423