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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 4, Pages 250–266 (Mi timm1019)  
On estimation of the stability defect of the sets with piecewise smooth border

V. N. Ushakov, A. N. Kotel'nikova, A. G. Malev

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
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Abstract: Nonlinear control system and connected differential inclusion on a finite time interval is considered. A game problem of approaching for a control system with a compact target set is studied. Some questions about weak invariance property of compact target set with respect to differential inclusion are considered. Also questions about estimation and calculation of stability defect of the sets with piecewise smooth border are considered. Formula of a stability defect for the sets with piecewise smooth border common case under conditions proving correct conception of weak invariance defect are obtained. A modeling example of a two dimensions control system is calculated.
Keywords: control system, differential inclusion, control, weak invariance of a set, weak invariance defect, set with piecewise smooth border.
Received: 20.07.2013
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2014, Volume 287, Issue 1, Pages 185–201
DOI: https://doi.org/10.1134/S0081543814090181
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
Citation: V. N. Ushakov, A. N. Kotel'nikova, A. G. Malev, “On estimation of the stability defect of the sets with piecewise smooth border”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 4, 2013, 250–266; Proc. Steklov Inst. Math. (Suppl.), 287, suppl. 1 (2014), 185–201
Citation in format AMSBIB
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