Stability Of Four Parts Parallel And Series Repairable System

Repairable system and its stability are important research object of the theory of the reliable system.In this paper.the mathematical modeling method is proposed and studied for a class of four parts parallel series repairable system model.At the same time,we discuss the corresponding abstract Cauchy problem on the aspects of system operator semi-group characteristics and spectral distribution.In addition to the study of solutions of systems of the well posed-ness,the asymptotic stability and exponential stability of system solutions are focused on studying, in order to lying the foundation of further research on system reliability.