Gerasin S. Stabilization and calculation methods of nonhomogeneous system distribution of markovian type

The problem of constructional stabilization theory development of nonhomogeneous systems of a markovian type has been solved in the thesis. Coincidence condition to the stationary and their stabilization condition have been obtained for Markov processes. The sufficient conditions of focusing nonhomogeneous discrete semimarkovian process have been found. For Markov processes with a variable number of the states existence conditions of limit for the fulfillment of differently shaped condition, which are superimposed on the sequence of terms of infinitesimal matrices of process have been found. The control method of nonhomogeneous process parameters with the aid of it is possible at the fixed moment of time to obtain probabilities of the heterogeneous process states which equal to the stationary of arbitrary homogeneous process has been proposed. The reduction method of discrete homogeneous markovian processes with counted number of states and discrete Markov chains has been suggested. Stabilization conditions of probability density of heterogeneous diffusional Markov process for completed time have been obtained.