Danilin, Alekseĭ Rufimovich; Kovrizhnykh, Ol’ga Olegovna Asymptotic expansion of the solution to an optimal control problem for a linear autonomous system with a terminal convex quality index depending on slow and fast variables. (Russian. English summary) Zbl 1520.93220 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 61, 42-56 (2023). MSC: 93C15 93C05 93C70 49N05 PDFBibTeX XMLCite \textit{A. R. Danilin} and \textit{O. O. Kovrizhnykh}, Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 61, 42--56 (2023; Zbl 1520.93220) Full Text: DOI MNR
Danilin, A. R.; Shaburov, A. A. Asymptotic expansion of the solution of a singularly perturbed optimal control problem with elliptical control constraints. (English. Russian original) Zbl 1487.49028 Autom. Remote Control 83, No. 1, 1-16 (2022); translation from Avtom. Telemekh. 2022, No. 1, 3-21 (2022). MSC: 49K21 93C70 PDFBibTeX XMLCite \textit{A. R. Danilin} and \textit{A. A. Shaburov}, Autom. Remote Control 83, No. 1, 1--16 (2022; Zbl 1487.49028); translation from Avtom. Telemekh. 2022, No. 1, 3--21 (2022) Full Text: DOI
Danilin, A. R.; Kovrizhnykh, O. O. Asymptotics of a solution to a singularly perturbed time-optimal control problem of transferring an object to a set. (English. Russian original) Zbl 1469.49004 Proc. Steklov Inst. Math. 313, Suppl. 1, S40-S53 (2021); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 26, No. 2, 132-146 (2020). MSC: 49J15 34H05 PDFBibTeX XMLCite \textit{A. R. Danilin} and \textit{O. O. Kovrizhnykh}, Proc. Steklov Inst. Math. 313, S40--S53 (2021; Zbl 1469.49004); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 26, No. 2, 132--146 (2020) Full Text: DOI
Danilin, A. R. Asymptotics of the solution of a singular optimal distributed control problem with essential constraints in a convex domain. (English. Russian original) Zbl 1453.49010 Differ. Equ. 56, No. 2, 251-263 (2020); translation from Differ. Uravn. 56, No. 2, 256-268 (2020). Reviewer: Roman Šimon Hilscher (Brno) MSC: 49K20 35J99 PDFBibTeX XMLCite \textit{A. R. Danilin}, Differ. Equ. 56, No. 2, 251--263 (2020; Zbl 1453.49010); translation from Differ. Uravn. 56, No. 2, 256--268 (2020) Full Text: DOI
Danilin, A. R.; Kovrizhnykh, O. O. On a singularly perturbed time-optimal control problem with two small parameters. (English. Russian original) Zbl 1443.93084 Proc. Steklov Inst. Math. 307, Suppl. 1, S34-S50 (2019); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 2, 76-92 (2018). MSC: 93C70 93C15 49J15 34E05 PDFBibTeX XMLCite \textit{A. R. Danilin} and \textit{O. O. Kovrizhnykh}, Proc. Steklov Inst. Math. 307, S34--S50 (2019; Zbl 1443.93084); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 24, No. 2, 76--92 (2018) Full Text: DOI
Danilin, A. R.; Kovrizhnykh, O. O. Asymptotics of a solution to a singularly perturbed time-optimal control problem. (English. Russian original) Zbl 1417.49019 Proc. Steklov Inst. Math. 303, Suppl. 1, S60-S69 (2018); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 23, No. 2, 67-76 (2017). MSC: 49K15 PDFBibTeX XMLCite \textit{A. R. Danilin} and \textit{O. O. Kovrizhnykh}, Proc. Steklov Inst. Math. 303, S60--S69 (2018; Zbl 1417.49019); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 23, No. 2, 67--76 (2017) Full Text: DOI
Danilin, A. R.; Kovrizhnykh, O. O. Asymptotics of the optimal time in a time-optimal control problem with a small parameter. (English. Russian original) Zbl 1373.93223 Proc. Steklov Inst. Math. 297, Suppl. 1, S62-S71 (2017); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 1, 61-70 (2016). MSC: 93C70 93C05 93B60 49J99 PDFBibTeX XMLCite \textit{A. R. Danilin} and \textit{O. O. Kovrizhnykh}, Proc. Steklov Inst. Math. 297, S62--S71 (2017; Zbl 1373.93223); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 22, No. 1, 61--70 (2016) Full Text: DOI
Danilin, A. R. Asymptotics of the solution in a problem of optimal boundary control of a flow through a part of the boundary. (English. Russian original) Zbl 1343.49006 Proc. Steklov Inst. Math. 292, Suppl. 1, S55-S66 (2016); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 4, 116-127 (2014). MSC: 49J20 35J15 PDFBibTeX XMLCite \textit{A. R. Danilin}, Proc. Steklov Inst. Math. 292, S55--S66 (2016; Zbl 1343.49006); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 4, 116--127 (2014) Full Text: DOI
Danilin, A. R.; Kovrizhnykh, O. O. Asymptotics of the optimal time in a time-optimal problem with two small parameters. (English. Russian original) Zbl 1321.49002 Proc. Steklov Inst. Math. 288, Suppl. 1, S46-S53 (2015); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 1, 92-99 (2014). MSC: 49J15 49K15 34H05 93C15 93C73 70Q05 PDFBibTeX XMLCite \textit{A. R. Danilin} and \textit{O. O. Kovrizhnykh}, Proc. Steklov Inst. Math. 288, S46--S53 (2015; Zbl 1321.49002); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 20, No. 1, 92--99 (2014) Full Text: DOI
Danilin, A. R.; Kovrizhnykh, O. O. Asymptotic representation of a solution to a singular perturbation linear time-optimal problem. (English. Russian original) Zbl 1286.49004 Proc. Steklov Inst. Math. 281, Suppl. 1, S22-S35 (2013); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 18, No. 2, 67-79 (2012). MSC: 49J15 34H05 93C70 93C05 93C15 PDFBibTeX XMLCite \textit{A. R. Danilin} and \textit{O. O. Kovrizhnykh}, Proc. Steklov Inst. Math. 281, S22--S35 (2013; Zbl 1286.49004); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 18, No. 2, 67--79 (2012) Full Text: DOI
Danilin, A. R.; Kovrizhnykh, O. O. Asymptotics of the optimal time in a singular perturbed linear time-optimal problem. (English. Russian original) Zbl 1251.49002 Proc. Steklov Inst. Math. 271, Suppl. 1 (2010, Suppl. 3), 53-65 (2010); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 16, No. 1 (2010). MSC: 49J15 93C70 93C05 PDFBibTeX XMLCite \textit{A. R. Danilin} and \textit{O. O. Kovrizhnykh}, Proc. Steklov Inst. Math. 271, 53--65 (2010; Zbl 1251.49002); translation from Tr. Inst. Mat. Mekh. (Ekaterinburg) 16, No. 1 (2010) Full Text: DOI
Danilin, A. R.; Il’in, A. M. On the structure of the solution of a perturbed time-optimal control problem. (Russian. English summary) Zbl 0967.49001 Fundam. Prikl. Mat. 4, No. 3, 905-926 (1998). MSC: 49J15 49J40 49N60 PDFBibTeX XMLCite \textit{A. R. Danilin} and \textit{A. M. Il'in}, Fundam. Prikl. Mat. 4, No. 3, 905--926 (1998; Zbl 0967.49001) Full Text: Link
Danilin, A. R.; Il’in, A. M. The asymptotical behavior of the solution to the time-optimal problem for a linear system under perturbation of initial data. (English. Russian original) Zbl 0911.93042 Dokl. Math. 54, No. 2, 673-675 (1996); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 350, No. 2, 155-157 (1996). Reviewer: W.Hejmo (Kraków) MSC: 93C73 49N05 49J15 93C05 PDFBibTeX XMLCite \textit{A. R. Danilin} and \textit{A. M. Il'in}, Dokl. Math. 54, No. 2, 673--675 (1996; Zbl 0911.93042); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 350, No. 2, 155--157 (1996)
Danilin, A. R. On the regularization of nonlinear control problems with perturbed constraints. (English. Russian original) Zbl 0889.49021 Russ. Math. 40, No. 8, 32-36 (1996); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1996, No. 8(411), 34-38 (1996). MSC: 49M30 PDFBibTeX XMLCite \textit{A. R. Danilin}, Russ. Math. 40, No. 8, 32--36 (1996; Zbl 0889.49021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1996, No. 8(411), 34--38 (1996)
Danilin, A. R.; Il’in, A. M. The asymptotics of the solution of a time-optimal problem with perturbed initial conditions. (English. Russian original) Zbl 0842.49024 J. Comput. Syst. Sci. Int. 33, No. 6, 67-74 (1995); translation from Izv. Ross. Akad. Nauk, Tekh. Kibern. 1994, No. 3, 96-103 (1994). MSC: 49N05 49J15 49K15 PDFBibTeX XMLCite \textit{A. R. Danilin} and \textit{A. M. Il'in}, J. Comput. Syst. Sci. Int. 33, No. 6, 1 (1994; Zbl 0842.49024); translation from Izv. Ross. Akad. Nauk, Tekh. Kibern. 1994, No. 3, 96--103 (1994)
Danilin, A. R. Regularization of the control problem with constrained state. (English. Russian original) Zbl 0789.49025 Russ. Math. 36, No. 2, 24-28 (1992); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1992, No. 2(357), 24-28 (1992). MSC: 49N60 49K27 PDFBibTeX XMLCite \textit{A. R. Danilin}, Russ. Math. 36, No. 2, 1 (1992; Zbl 0789.49025); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1992, No. 2(357), 24--28 (1992)