Stability Analysis Of Home Central Air Conditioning System

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.