Geodesic
About modification of one dynamic algorithm guaranteeing the restoration of control in a dynamic system with singular matrix
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2008), pp. 119-121 
S. S. Rubleva. About modification of one dynamic algorithm guaranteeing the restoration of control in a dynamic system with singular matrix. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2008), pp. 119-121. http://geodesic.mathdoc.fr/item/VUU_2008_2_a38/
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     title = {About modification of one dynamic algorithm guaranteeing the restoration of control in a~dynamic system with singular matrix},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
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     url = {http://geodesic.mathdoc.fr/item/VUU_2008_2_a38/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The paper deals with the properties of one method of dynamic regularization for the problem of restoration of control in a dynamic system, nonlinear in time and state and linear in control. The asymptotic estimation of accuracy has been obtained for the case where the matrix of factors at control has a constant image. The possibility of obtaining guaranteed estimations is considered for the case where the change in the image of a matrix of factors is not accompanied by tending to zero of its minimal nonzero singular value.

[1] Kryazhimskii A. V., Osipov Yu. S., “O modelirovanii upravleniya v dinamicheskoi sisteme”, Tekhn. Kibernetika (Izv. AN SSSR), 1983, no. 2, 51–60 | MR

[2] Vdovin A. Yu., Kim A. V., Rubleva S. S., “Ob asimptoticheskoi tochnosti v $L_1$ odnogo dinamicheskogo algoritma vosstanovleniya vozmuscheniya”, Trudy IMM UrO RAN, 12, no. 2, Ekaterinburg, 2006, 18–26 | MR