Title :
Asymptotic Stability of Software Systems with Rejuvenation Policy
Author :
Houbao, Xu ; Junmin, Wang
Author_Institution :
Beijing Inst. of Technol., Beijing
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 :
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;
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
DOI :
10.1109/CHICC.2006.4347423
