Geodesic
The construction of the non-predicting control for systems with random parameters
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2006), pp. 95-98 
L. I. Rodina. The construction of the non-predicting control for systems with random parameters. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2006), pp. 95-98. http://geodesic.mathdoc.fr/item/IIMI_2006_2_a21/
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     title = {The construction of the non-predicting control for systems with random parameters},
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Voir la notice de l'article provenant de la source Math-Net.Ru

This paper is concerned with the problem of local controllability for linear nonstationary systems with random parameters. For this type of systems we construct a non-predicting control when we use the information about system only before the current moment. The sufficient conditions of the non-predicting controllability and estimation of the probability that given system is a locally controllable on the fixed time segment are obtained.

[1] Baranova O. V., “O ravnomernoi globalnoi upravlyaemosti lineinoi sistemy so statsionarnymi sluchainymi parametrami”, Differentsialnye uravneniya, 27:11 (1991), 1843–1850 | MR | Zbl

[2] Shiryaev A. N., Veroyatnost, Nauka, M., 1989, 640 pp. | MR

[3] Kornfeld I. P., Sinai Ya. G., Fomin S. V., Ergodicheskaya teoriya, Nauka, M., 1980, 383 pp. | MR