On adaptive automaton search and its convergence

An approach to the problem of partial realization of multidimensional linear stationary dynamic systems with discrete time is discussed which is used to formulate and solve the problem of extended partial realization in the scalar case. A relation of its solution with classical algebraical problems is established. The difficulties in the multidimensional problem of partial realization are found to be caused by the complexity of extending those algebraical problems to the multidimensional case.