Harrache, Fazia; Chittaro, Francesca C.; Aidéne, Mohamed Local \(L^1\) sub-Finsler geometry in dimension 3: non-generic cases. (English) Zbl 07785823 J. Dyn. Control Syst. 29, No. 4, 1867-1927 (2023). MSC: 53B40 53C17 53C22 PDFBibTeX XMLCite \textit{F. Harrache} et al., J. Dyn. Control Syst. 29, No. 4, 1867--1927 (2023; Zbl 07785823) Full Text: DOI
Bogaevsky, I. A. Front asymptotics of a flat sub-Riemannian structure on the Engel distribution. (English. Russian original) Zbl 1522.53018 Proc. Steklov Inst. Math. 321, 54-68 (2023); translation from Tr. Mat. Inst. Steklova 321, 62-76 (2023). MSC: 53C17 58A30 PDFBibTeX XMLCite \textit{I. A. Bogaevsky}, Proc. Steklov Inst. Math. 321, 54--68 (2023; Zbl 1522.53018); translation from Tr. Mat. Inst. Steklova 321, 62--76 (2023) Full Text: DOI OA License
Barilari, Davide; Kohli, Mathieu On sub-Riemannian geodesic curvature in dimension three. (English) Zbl 1497.53070 Adv. Calc. Var. 15, No. 3, 577-599 (2022). MSC: 53C17 53C22 53C23 PDFBibTeX XMLCite \textit{D. Barilari} and \textit{M. Kohli}, Adv. Calc. Var. 15, No. 3, 577--599 (2022; Zbl 1497.53070) Full Text: DOI arXiv
Ali, Entisar A.-L.; Charlot, G. Local contact sub-Finslerian geometry for maximum norms in dimension 3. (English) Zbl 1480.53023 Math. Control Relat. Fields 11, No. 2, 373-401 (2021). MSC: 53B40 53D10 53C17 53C22 49J15 PDFBibTeX XMLCite \textit{E. A. L. Ali} and \textit{G. Charlot}, Math. Control Relat. Fields 11, No. 2, 373--401 (2021; Zbl 1480.53023) Full Text: DOI
Bettiol, P.; Bonnard, B.; Nolot, A.; Rouot, J. Sub-Riemannian geometry and swimming at low Reynolds number: the copepod case. (English) Zbl 1434.70061 ESAIM, Control Optim. Calc. Var. 25, Paper No. 9, 30 p. (2019). MSC: 70Q05 93C10 49K15 PDFBibTeX XMLCite \textit{P. Bettiol} et al., ESAIM, Control Optim. Calc. Var. 25, Paper No. 9, 30 p. (2019; Zbl 1434.70061) Full Text: DOI HAL
Sacchelli, Ludovic Short geodesics losing optimality in contact sub-Riemannian manifolds and stability of the 5-dimensional caustic. (English) Zbl 1423.53034 SIAM J. Control Optim. 57, No. 4, 2362-2391 (2019). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C17 58K05 58K40 34C20 53D10 PDFBibTeX XMLCite \textit{L. Sacchelli}, SIAM J. Control Optim. 57, No. 4, 2362--2391 (2019; Zbl 1423.53034) Full Text: DOI arXiv Link
Bonnet, Benoît; Gauthier, Jean-Paul; Rossi, Francesco Generic singularities of the 3D-contact sub-Riemannian conjugate locus. (Singularités génériques du lieu conjugé en géométrie sous-riemannienne dans le cas 3D-contact.) (English. Abridged French version) Zbl 1485.53037 C. R., Math., Acad. Sci. Paris 357, No. 6, 520-527 (2019). Reviewer: Mihail Banaru (Smolensk) MSC: 53C17 53D10 58K05 PDFBibTeX XMLCite \textit{B. Bonnet} et al., C. R., Math., Acad. Sci. Paris 357, No. 6, 520--527 (2019; Zbl 1485.53037) Full Text: DOI arXiv
Ali, Entisar Abdul-Latif; Charlot, Grégoire Local (sub)-Finslerian geometry for the maximum norms in dimension 2. (English) Zbl 1419.53027 J. Dyn. Control Syst. 25, No. 3, 457-490 (2019). Reviewer: Mircea Neagu (Brasov) MSC: 53B40 53C22 49J15 49K15 53C17 PDFBibTeX XMLCite \textit{E. A. L. Ali} and \textit{G. Charlot}, J. Dyn. Control Syst. 25, No. 3, 457--490 (2019; Zbl 1419.53027) Full Text: DOI HAL
Bonnard, Bernard; Chyba, Monique; Rouot, Jéremy; Takagi, Daisuke Sub-Riemannian geometry, Hamiltonian dynamics, micro-swimmers, copepod nauplii and copepod robot. (English) Zbl 1460.53036 Pac. J. Math. Ind. 10, Paper No. 2, 27 p. (2018). MSC: 53C17 76Z10 93B27 37J06 49K21 49S05 53C80 PDFBibTeX XMLCite \textit{B. Bonnard} et al., Pac. J. Math. Ind. 10, Paper No. 2, 27 p. (2018; Zbl 1460.53036) Full Text: DOI
Grochowski, Marek; Warhurst, Ben Isometries of sub-Riemannian metrics supported on Martinet type distributions. (English) Zbl 1404.53043 J. Lie Theory 28, No. 3, 767-780 (2018). Reviewer: Nathaniel Eldredge (Greeley) MSC: 53C17 53B30 53A55 34C14 PDFBibTeX XMLCite \textit{M. Grochowski} and \textit{B. Warhurst}, J. Lie Theory 28, No. 3, 767--780 (2018; Zbl 1404.53043) Full Text: Link
Bettiol, P.; Bonnard, B.; Rouot, J. Optimal strokes at low Reynolds number: a geometric and numerical study of copepod and purcell swimmers. (English) Zbl 1391.49032 SIAM J. Control Optim. 56, No. 3, 1794-1822 (2018). MSC: 49K15 53C17 93B27 93C10 70Q05 49M05 49J15 49N20 PDFBibTeX XMLCite \textit{P. Bettiol} et al., SIAM J. Control Optim. 56, No. 3, 1794--1822 (2018; Zbl 1391.49032) Full Text: DOI
Bekkers, E. J.; Duits, R.; Mashtakov, A.; Sanguinetti, G. R. Data-driven sub-Riemannian geodesics in \(\mathrm{SE}(2)\). (English) Zbl 1453.94003 Aujol, Jean-François (ed.) et al., Scale space and variational methods in computer vision. 5th international conference, SSVM 2015, Lège-Cap Ferret, France, May 31 – June 4, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9087, 613-625 (2015). MSC: 94A08 53C17 PDFBibTeX XMLCite \textit{E. J. Bekkers} et al., Lect. Notes Comput. Sci. 9087, 613--625 (2015; Zbl 1453.94003) Full Text: DOI
Bekkers, E. J.; Duits, R.; Mashtakov, A.; Sanguinetti, G. R. A PDE approach to data-driven sub-Riemannian geodesics in \(\mathrm{SE}(2)\). (English) Zbl 1336.58014 SIAM J. Imaging Sci. 8, No. 4, 2740-2770 (2015). MSC: 58J32 65D18 43A80 65N06 35D40 PDFBibTeX XMLCite \textit{E. J. Bekkers} et al., SIAM J. Imaging Sci. 8, No. 4, 2740--2770 (2015; Zbl 1336.58014) Full Text: DOI arXiv
Bonnard, B.; Caillau, J.-B. Metrics with equatorial singularities on the sphere. (English) Zbl 1305.53040 Ann. Mat. Pura Appl. (4) 193, No. 5, 1353-1382 (2014). Reviewer: Constantin Călin (Iaşi) MSC: 53C17 49K15 53C80 PDFBibTeX XMLCite \textit{B. Bonnard} and \textit{J. B. Caillau}, Ann. Mat. Pura Appl. (4) 193, No. 5, 1353--1382 (2014; Zbl 1305.53040) Full Text: DOI HAL
Huang, Tiren; Yang, Xiaoping Geodesics in the Heisenberg group \(H ^{n }\) with a Lorentzian metric. (English) Zbl 1261.58009 J. Dyn. Control Syst. 18, No. 4, 479-498 (2012). Reviewer: Vladimir Balan (Bucureşti) MSC: 58E10 53C50 PDFBibTeX XMLCite \textit{T. Huang} and \textit{X. Yang}, J. Dyn. Control Syst. 18, No. 4, 479--498 (2012; Zbl 1261.58009) Full Text: DOI
Sachkov, Yuri L. Cut locus and optimal synthesis in the sub-Riemannian problem on the group of motions of a plane. (English) Zbl 1251.49057 ESAIM, Control Optim. Calc. Var. 17, No. 2, 293-321 (2011). MSC: 49Q20 49J15 93B27 93C10 53C17 22E30 PDFBibTeX XMLCite \textit{Y. L. Sachkov}, ESAIM, Control Optim. Calc. Var. 17, No. 2, 293--321 (2011; Zbl 1251.49057) Full Text: DOI EuDML
Sachkov, Yuri L. Conjugate and cut time in the sub-Riemannian problem on the group of motions of a plane. (English) Zbl 1208.49003 ESAIM, Control Optim. Calc. Var. 16, No. 4, 1018-1039 (2010). Reviewer: Andrew Bucki (Edmond) MSC: 49J15 53C17 49Q20 93B27 PDFBibTeX XMLCite \textit{Y. L. Sachkov}, ESAIM, Control Optim. Calc. Var. 16, No. 4, 1018--1039 (2010; Zbl 1208.49003) Full Text: DOI arXiv EuDML
Moiseev, Igor; Sachkov, Yuri L. Maxwell strata in sub-Riemannian problem on the group of motions of a plane. (English) Zbl 1217.49037 ESAIM, Control Optim. Calc. Var. 16, No. 2, 380-399 (2010). MSC: 49Q20 49J15 93B27 93C10 53C17 22E30 PDFBibTeX XMLCite \textit{I. Moiseev} and \textit{Y. L. Sachkov}, ESAIM, Control Optim. Calc. Var. 16, No. 2, 380--399 (2010; Zbl 1217.49037) Full Text: DOI arXiv EuDML
Gauthier, J.-P.; Zakalyukin, V. M. Entropy estimations for motion planning problems in robotics. (English. Russian original) Zbl 1152.93045 Proc. Steklov Inst. Math. 256, 62-79 (2007); translation from Tr. Mat. Inst. Steklova 256, 70-88 (2007). MSC: 93C85 37N35 53C17 93C10 PDFBibTeX XMLCite \textit{J. P. Gauthier} and \textit{V. M. Zakalyukin}, Proc. Steklov Inst. Math. 256, 62--79 (2007; Zbl 1152.93045); translation from Tr. Mat. Inst. Steklova 256, 70--88 (2007) Full Text: DOI
Gauthier, Jean-Paul; Zakalyukin, Vladimir On the motion planning problem, complexity, entropy, and nonholonomic interpolation. (English) Zbl 1121.53025 J. Dyn. Control Syst. 12, No. 3, 371-404 (2006). Reviewer: Adrian Sandovici (Piatra Neamt) MSC: 53C17 49J15 34H05 58A15 PDFBibTeX XMLCite \textit{J.-P. Gauthier} and \textit{V. Zakalyukin}, J. Dyn. Control Syst. 12, No. 3, 371--404 (2006; Zbl 1121.53025) Full Text: DOI
Gauthier, J.-P.; Zakalyukin, V. On the one-step-Bracket-Generating motion planning problem. (English) Zbl 1069.53032 J. Dyn. Control Syst. 11, No. 2, 215-235 (2005). MSC: 53C17 53C99 93B29 PDFBibTeX XMLCite \textit{J. P. Gauthier} and \textit{V. Zakalyukin}, J. Dyn. Control Syst. 11, No. 2, 215--235 (2005; Zbl 1069.53032) Full Text: DOI
Gauthier, J.-P.; Zakalyukin, V. On the codimension one motion planning problem. (English) Zbl 1079.53049 J. Dyn. Control Syst. 11, No. 1, 73-89 (2005). Reviewer: Adrian Sandovici (Groningen) MSC: 53C17 34H05 PDFBibTeX XMLCite \textit{J. P. Gauthier} and \textit{V. Zakalyukin}, J. Dyn. Control Syst. 11, No. 1, 73--89 (2005; Zbl 1079.53049) Full Text: DOI
Romero-Meléndez, Cutberto; Gauthier, Jean Paul; Monroy-Pérez, Felipe On complexity and motion planning for co-rank one sub-Riemannian metrics. (English) Zbl 1101.93030 ESAIM, Control Optim. Calc. Var. 10, 634-655 (2004). Reviewer: Maido Rahula (Tartu) MSC: 93B29 34A05 49J15 53C17 PDFBibTeX XMLCite \textit{C. Romero-Meléndez} et al., ESAIM, Control Optim. Calc. Var. 10, 634--655 (2004; Zbl 1101.93030) Full Text: DOI Numdam EuDML
Agrachev, A.; Bonnard, B.; Chyba, M.; Kupka, I. Sub-Riemannian sphere in Martinet flat case. (English) Zbl 0902.53033 ESAIM, Control Optim. Calc. Var. 2, 377-448 (1997). Reviewer: C.Udrişte (Bucureşti) MSC: 53C22 49L99 53C15 PDFBibTeX XMLCite \textit{A. Agrachev} et al., ESAIM, Control Optim. Calc. Var. 2, 377--448 (1997; Zbl 0902.53033) Full Text: DOI EuDML