| Repairable system is the main research object in reliability theory and mathematics reliability. This academic dissertation start at actual background of household central air conditioning system, build a class of mathematical models of repairable systems with unidi-rectional closed principle, by using the theory of random process and supplemented variable method. The use of linear operator semigroup theory, observes the system operator semi-group characteristics, and further discusses the well-posedness of the solutions of the system. Using spectral theory of functional analysis discuss the asymptotic stability of the solutions of systems. And further study of the time-dependent solution of the system of exponential stability in strong conditions. |
