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Mathematical model of control of restorable system with latent failures has been built. Failures are assumed to be detected after control execution only. Stationary characteristics of system operation reliability and efficiency have been defined. The problem of control execution periodicity optimization has been solved. The model of control has been built by means of apparatus of semi-Markovian processes with a discrete-continuous field of states.doi:10.4236/am.2011.23046 fatcat:gensqxblffgiraaubrdbmv4kxu