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S.Ezzeroual, B.Sadik / IJOCTA, Vol.15, No.3, pp.396-406 (2025)
Further disclosure 12. Bloch AM. Nonholonomic Mechanics and Con-
trol. Springer; 2015.
A preliminary summary of this work was pre-
https://doi.org/10.1007/978-1-4939-3017-3
sented at the International Conference on Mathe-
13. Mao Z, Kobayashi R, Nabae H, Suzumori K. Mul-
matics and Decision, held at the UM6P Vanguard timodal strain sensing system for shape recogni-
Center (UM6P, Rabat, December 17-20, 2024). tion of tensegrity structures by combining tradi-
tional regression and deep learning approaches.
IEEE Robot Automation Lett. 2024;9(11):1-6.
References
https://doi.org/10.1109/LRA.2024.3469811
1. Sachkov Y. Introduction to geometric control. 14. Peng Y, Yang X, Li D, et al. Predicting flow sta-
In: Springer Optimization and Its Applications. tus of a flexible rectifier using cognitive comput-
Moscow:URSS; 2019:192. ing. Exp Syst Appl. 2025;264: 125878.
https://doi.org/10.1007/978-3-031-02070-4 https://doi.org/10.1016/j.eswa.2024.125878
2. Moiseev I, Sachkov YL. Maxwell strata in sub- 15. Jurdjevic V. Optimal Control and Geometry: In-
Riemannian problem on the group of motions of tegrable Systems, Vol. 154. Cambridge University
a plane. ESAIM: COV 2010; 16(2): 380–399. Press; 2016.
https://doi.org/10.1051/cocv/2009030 https://doi.org/10.1017/CBO9781316286852
3. Sachkov YL. Complete description of the Maxwell 16. Agrachev A, Barilari D. Sub-Riemannian Struc-
strata in the generalized Dido problem. Sb. Math. tures on 3D Lie Groups. SISSA & MIAN; 2011.
2006;197(6):901–950. https://doi.org/10.48550/arXiv.1007.4970
https://doi.org/10.1070/SM2006v197n06AB 17. Peter J.Olver, Application of Lie Groups to Dif-
EH003783 ferential Equations; 1993.
4. Agrachev AA, Barilari D, Boscain U. A Compre- https://doi.org/10.1007/978-1-4612-4350-2
hensive Introduction to Sub-Riemannian Geome- 18. Olver FWJ, Lozier DW, Boisvert RF, Clark CW.
try. Cambridge University Press; 2019. (2010). NIST Handbook of Mathematical Func-
https://doi.org/10.1017/9781108677325 tions. National Institute of Standards and Tech-
5. Butt YA. Sub-Riemannian Problem on Lie Group nology, Cambridge University Press; 2010.
of Motions of Pseudo-Euclidean Plane; 2015: 19. Bonnard B, Cots O. Geometric numerical meth-
53–91. ods and results in the contrast imaging problem in
http://142.54.178.187:9060/xmlui/handle/ nuclear magnetic resonance. Math Models Meth-
123456789/1122 ods Appl Sci. 2014;24(1):187–212.
6. Gallier J, Quaintance J. Notes on Differential Ge- https://doi.org/10.1142/S0218202513500504
ometry and Lie Groups [Lecture Notes]; 2016.
7. Hrdina J, Zalabov´a L. Local Geometric Control
of a Certain Mechanism with the Growth Vec-
Soukaina Ezzeroual is a PhD student in Mathemat-
tor (4,7). J Dyn Control Syst.; 2020:26;199–216.
ics at Cadi Ayyad University, Faculty of Sciences Sem-
https://doi.org/10.1007/s10883-019-09460-7
lalia. Her research focuses on sub-Riemannian geom-
8. Agrachev AA, Barilari D. Sub-Riemannian struc-
etry, optimal control, algebra, and analysis. She is
tures on 3D Lie groups. J Dyn Control Syst.
conducting her research under the supervision of Pro-
2012;18(1):21–44.
fessor Brahim Sadik. .
https://doi.org/10.1007/s10883-012-9133-8
https://orcid.org/0009-0003-4536-3892
9. Jean F. Control of Nonholonomic Systems: From
Sub-Riemannian Geometry to Motion Planning.
In: Springer Briefs in Mathematics. Springer;
2014. Brahim Sadik is a Professor-Researcher in Mathe-
10. Hill CD, Nurowski P. A Car as Parabolic Geom- matics at Cadi Ayyad University, Faculty of Sciences
etry; 2019. arXiv:1908.01169. Semlalia. His research focuses on Algebra, Analysis,
11. Hermans J. A symmetric sphere rolling on a sur- and Applied Mathematics, and he has published sev-
face. Nonlinearity 1995;8:1–23. eral articles in these fields.
https://doi.org/10.1088/0951-7715/8/4/003 https://orcid.org/0000-0002-3548-0265

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