naa a22 4500 510812562 CHVBK 20180411083449.0 cr unu---uuuuu 180411e20130601xx s 000 0 eng 10.1134/S0081543813050039 doi (NATIONALLICENCE)springer-10.1134/S0081543813050039 Asymptotic representation of a solution to a singular perturbation linear time-optimal problem [Elektronische Daten] [A. Danilin, O. Kovrizhnykh] A time-optimal control problem is considered for a linear system with fast and slow variables and smooth geometric constraints on the control. An asymptotic expansion of the optimal time up to the second order of smallness is constructed and validated. Pleiades Publishing, Ltd., 2013 optimal control nationallicence time-optimal control problem nationallicence asymptotic expansion nationallicence singular perturbation problems nationallicence small parameter nationallicence Danilin A. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, 620990, Yekaterinburg, Russia aut Kovrizhnykh O. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, 620990, Yekaterinburg, Russia aut Proceedings of the Steklov Institute of Mathematics SP MAIK Nauka/Interperiodica 281(2013-06-01), 22-35 0081-5438 281<22 2013 281 11501 https://doi.org/10.1134/S0081543813050039 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S0081543813050039 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Danilin A. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, 620990, Yekaterinburg, Russia aut NATIONALLICENCE 700 1- Kovrizhnykh O. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, 620990, Yekaterinburg, Russia aut NATIONALLICENCE 773 0- Proceedings of the Steklov Institute of Mathematics SP MAIK Nauka/Interperiodica 281(2013-06-01), 22-35 0081-5438 281<22 2013 281 11501 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer