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Abstract

The problems of constructing stable algorithms for locally optimal stabilization of controlled dynamic objects under conditions of incomplete observations and non-measurable perturbations are considered. Algorithms for the formation of locally optimal control objects on the basis of pseudo-inversion concepts of matrices are presented. For a stable pseudo-inversion of matrices, we use the Tikhonov regularization method for extremal problems with the choice of the regularization parameter by the generalized residual principle. In determining the desired solution, we use the procedure for reducing the regularized system to a set of three diagonal systems of linear algebraic equations that are solved by the sweep method.

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