Abstract
Investigation of the stabilizability in the mean square of a linear system with several perturbations in the object and the control channel is reduced to the analysis of a simpler system with a smaller number of perturbations. Necessary and sufficient conditions of stabilizability are obtained, and a procedure for determining the stabilizing control is indicated. Effects of the perturbation pattern on the stabilizability of a system is investigated, and it is shown how such investigation can be simplified depending on the perturbation pattern.
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