Generalized control problem in diagnostic problems
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Spring Mathematical School "Modern Methods of the Theory of Boundary-Value Problems. Pontryagin Readings – XXXII”, Voronezh, May 3–9, 2021, Part 2, Tome 209 (2022), pp. 117-126

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In this paper, we explain such concepts as control sphere, control ellipsoid, and control tube. The solution of the control problem by the method of statistical tests is proposed. The statement of the extended problem of control is formulated and necessary preparations for considering the diagnosis problem are made. This work is the third work of the cycle devoted to control problems.
Keywords: control sphere, control ellipsoid, control tube, extended control problem.
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M. V. Shamolin. Generalized control problem in diagnostic problems. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh International Spring Mathematical School "Modern Methods of the Theory of Boundary-Value Problems. Pontryagin Readings – XXXII”, Voronezh, May 3–9, 2021, Part 2, Tome 209 (2022), pp. 117-126. http://geodesic.mathdoc.fr/item/INTO_2022_209_a9/