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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {S. S. Rubleva},
     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},
     pages = {119--121},
     year = {2008},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2008_2_a38/}
}
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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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[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