Yu. L. Sachkov, E. F. Sachkova, “Sub-Lorentzian Problem on the Heisenberg Group”, Mat. Zametki, 113:1 (2023), 154–157; Math. Notes, 113:1 (2023), 159–162
Yu. L. Sachkov, E. F. Sachkova, “Abnormal Extremals in the Sub-Riemannian Problem with Growth Vector $(2, 3, 5, 8, 14)$”, Rus. J. Nonlin. Dyn., 19:4 (2023), 559–573
5.
Yu. L. Sachkov, “Left-invariant optimal control problems on Lie groups that are integrable by elliptic functions”, Uspekhi Mat. Nauk, 78:1(469) (2023), 67–166; Russian Math. Surveys, 78:1 (2023), 65–163
Yu. L. Sachkov, E. F. Sachkova, “Abnormal Trajectories in the Sub-Riemannian $(2,3,5,8)$ Problem”, Trudy Mat. Inst. Steklova, 321 (2023), 252–285; Proc. Steklov Inst. Math., 321 (2023), 236–268
7.
Alexey P. Mashtakov, Yuri L. Sachkov, “Extremal Trajectories in a Time-Optimal Problem on the Group of Motions of a Plane with Admissible Control in a Circular Sector”, Trudy Mat. Inst. Steklova, 321 (2023), 215–222; Proc. Steklov Inst. Math., 321 (2023), 200–207
Yu. L. Sachkov, E. F. Sachkova, “Sub-riemannian (2, 3, 5, 6)-structures”, Dokl. RAN. Math. Inf. Proc. Upr., 496 (2021), 73–78; Dokl. Math., 103:1 (2021), 61–65
12.
A. A. Ardentov, L. V. Lokutsievskiy, Yu. L. Sachkov, “Extremals for a series of sub-Finsler problems with 2-dimensional control via convex trigonometry”, ESAIM: COCV, 27 (2021), 32–52
Yu. L. Sachkov, E. F. Sachkova, “An Abnormal Set for the $(2,3,5,8)$-Distribution”, Mat. Zametki, 109:2 (2021), 318–320; Math. Notes, 109:2 (2021), 317–319
Yu. L. Sachkov, E. F. Sachkova, “Carnot Algebras and Sub-Riemannian Structures with Growth Vector (2,$\,$3,$\,$5,$\,$6)”, Trudy Mat. Inst. Steklova, 315 (2021), 237–246; Proc. Steklov Inst. Math., 315 (2021), 223–232
2020
15.
A. A. Ardentov, L. V. Lokutsievskiy, Yu. L. Sachkov, “Explicit solutions for a series of optimization problems with 2-dimensional control via convex trigonometry”, Dokl. RAN. Math. Inf. Proc. Upr., 494 (2020), 86–92; Dokl. Math., 102 (2020), 427–432
Yu. L. Sachkov, E. F. Sachkova, “The structure of abnormal extremals in a sub-Riemannian problem with growth vector $(2, 3, 5, 8)$”, Mat. Sb., 211:10 (2020), 112–138; Sb. Math., 211:10 (2020), 1460–1485
Yu. L. Sachkov, E. F. Sachkova, “Symmetries and Parameterization of Abnormal Extremals in the Sub-Riemannian Problem with the Growth Vector (2, 3, 5, 8)”, Rus. J. Nonlin. Dyn., 15:4 (2019), 577–585
23.
Andrei A. Ardentov, Enrico Le Donne, Yuri L. Sachkov, “Sub-Finsler Geodesics on the Cartan Group”, Regul. Chaotic Dyn., 24:1 (2019), 36–60
A. A. Ardentov, E. Le Donne, Yu. L. Sachkov, “A Sub-Finsler Problem on the Cartan Group”, Trudy Mat. Inst. Steklova, 304 (2019), 49–67; Proc. Steklov Inst. Math., 304 (2019), 42–59
A. Yu. Popov, Yu. L. Sachkov, “Two-side bound of a root of an equation containing complete elliptic integrals”, Program Systems: Theory and Applications, 9:4 (2018), 253–264
26.
A. A. Ardentov, Yu. L. Sachkov, T. Huang, X. Yang, “Extremal trajectories in the sub-Lorentzian problem on the Engel group”, Mat. Sb., 209:11 (2018), 3–31; Sb. Math., 209:11 (2018), 1547–1574
L. V. Lokutsievskiy, Yu. L. Sachkov, “Liouville integrability of sub-Riemannian problems on Carnot groups of step 4 or greater”, Mat. Sb., 209:5 (2018), 74–119; Sb. Math., 209:5 (2018), 672–713
L. V. Lokoutsievskiy, Yu. L. Sachkov, “Liouville nonintegrability of sub-Riemannian problems on free Carnot groups of step 4”, Dokl. Akad. Nauk, 474:1 (2017), 19–21; Dokl. Math., 95:3 (2017), 211–213
Yu. L. Sachkov, E. F. Sachkova, “Degenerate abnormal trajectories in a sub-Riemannian problem with growth vector $(2, 3, 5, 8)$”, Differ. Uravn., 53:3 (2017), 362–374; Differ. Equ., 53:3 (2017), 352–365
Andrei A. Ardentov, Yuri L. Sachkov, “Maxwell Strata and Cut Locus in the Sub-Riemannian Problem on the Engel Group”, Regul. Chaotic Dyn., 22:8 (2017), 909–936
Alexey Mashtakov, Andrei Ardentov, Yuri L. Sachkov, “Relation Between Euler’s Elasticae and Sub-Riemannian Geodesics on $SE(2)$”, Regul. Chaotic Dyn., 21:7-8 (2016), 832–839
I. Yu. Beschastnyi, Yu. L. Sachkov, “Geodesics in the sub-Riemannian problem on the group $\mathrm{SO}(3)$”, Mat. Sb., 207:7 (2016), 29–56; Sb. Math., 207:7 (2016), 915–941
A. A. Ardentov, I. Yu. Beschatny, A. P. Mashtakov, A. Yu. Popov, Yu. L. Sachkov, E. F. Sachkova, “Algorithms for evaluation position and orientation of UAV”, Program Systems: Theory and Applications, 3:3 (2012), 23–39
35.
Yu. L. Sachkov, “Closed Euler elasticae”, Trudy Mat. Inst. Steklova, 278 (2012), 227–241; Proc. Steklov Inst. Math., 278 (2012), 218–232
A. A. Ardentov, Yu. L. Sachkov, “Antropomorphic recovery of corrupted images via methods of sub-Riemannian geometry”, Program Systems: Theory and Applications, 2:4 (2011), 3–15
37.
A. A. Ardentov, Yu. L. Sachkov, “Extremal trajectories in a nilpotent sub-Riemannian problem on the Engel group”, Mat. Sb., 202:11 (2011), 31–54; Sb. Math., 202:11 (2011), 1593–1615
A. P. Mashtakov, Yu. L. Sachkov, “Extremal trajectories and the asymptotics of the Maxwell time in the problem of the optimal rolling of a sphere on a plane”, Mat. Sb., 202:9 (2011), 97–120; Sb. Math., 202:9 (2011), 1347–1371
Yu. L. Sachkov, A. A. Ardentov, A. P. Mashtakov, “Parallel algorithm and software for recovery of isophotes for corrupted images”, Program Systems: Theory and Applications, 1:1 (2010), 3–20
Yu. L. Sachkov, “Maxwell strata and symmetries in the problem of optimal rolling of a sphere over a plane”, Mat. Sb., 201:7 (2010), 99–120; Sb. Math., 201:7 (2010), 1029–1051
Yu. L. Sachkov, S. V. Levyakov, “Stability of inflectional elasticae centered at vertices or inflection points”, Trudy Mat. Inst. Steklova, 271 (2010), 187–203; Proc. Steklov Inst. Math., 271 (2010), 177–192
A. A. Ardentov, Yu. L. Sachkov, “Solution to Euler's elastic problem”, Avtomat. i Telemekh., 2009, no. 4, 78–88; Autom. Remote Control, 70:4 (2009), 633–643
V. I. Gurman, Yu. L. Sachkov, “Representation and realization of the generalized solutions of the unlimited-locus controllable systems”, Avtomat. i Telemekh., 2008, no. 4, 72–80; Autom. Remote Control, 69:4 (2008), 609–617
Yu. L. Sachkov, “Complete description of the Maxwell strata in the
generalized Dido problem”, Mat. Sb., 197:6 (2006), 111–160; Sb. Math., 197:6 (2006), 901–950
Yu. L. Sachkov, “Controllability of two- and three-dimensional bilinear systems in the positive orthant”, Differ. Uravn., 29:2 (1993), 361–363; Differ. Equ., 29:2 (1993), 301–304
V. I. Gurman, L. N. Znamenskaya, Yu. L. Sachkov, “Generalized Solutions in Control Problems (International Symposium GSCP-2002, Pereslavl-Zalesskii, August, 27–31, 2002)”, Differ. Uravn., 39:8 (2003), 1140–1143; Differ. Equ., 39:8 (2003), 1201–1205
Abnormal trajectories in a (2, 3, 5, 8) sub-Riemannian problem Yu. L. Sachkov, E. F. Sachkova International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko June 9, 2022 17:00
Cut locus in sub-Riemannian problem on the Engel group A. A. Ardentov, Yu. L. Sachkov International Conference "Mathematical Theory of Optimal Control"
dedicated to the 90th birthday of Academician R. V. Gamkrelidze June 1, 2017 15:00
Flat (2,3,5,8) sub-Riemannian problem L. V. Lokutsievskii, Yu. L. Sachkov, E. F. Sachkova International Conference on Mathematical Control Theory and Mechanics July 4, 2015 17:20
Sub-Lorentzian Geodesics in the Engel group Q. Cai, T. Huang, Yu. L. Sachkov, X. Yang International Conference on Differential Equations and Dynamical Systems July 7, 2014 17:20
47.
Sub-Riemannian problem on the Engel group A. A. Ardentov, Yu. L. Sachkov International Conference on Differential Equations and Dynamical Systems July 7, 2014 16:10
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