Geodesic
Chattering extremals in control-affine stabilization problems
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 79 (2024) no. 5, pp. 931-933 
N. B. Melnikov; M. I. Ronzhina. Chattering extremals in control-affine stabilization problems. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 79 (2024) no. 5, pp. 931-933. http://geodesic.mathdoc.fr/item/RM_2024_79_5_a7/
@article{RM_2024_79_5_a7,
     author = {N. B. Melnikov and M. I. Ronzhina},
     title = {Chattering extremals in control-affine stabilization problems},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {931--933},
     year = {2024},
     volume = {79},
     number = {5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RM_2024_79_5_a7/}
}
TY  - JOUR
AU  - N. B. Melnikov
AU  - M. I. Ronzhina
TI  - Chattering extremals in control-affine stabilization problems
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2024
SP  - 931
EP  - 933
VL  - 79
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/RM_2024_79_5_a7/
LA  - en
ID  - RM_2024_79_5_a7
ER  - 
%0 Journal Article
%A N. B. Melnikov
%A M. I. Ronzhina
%T Chattering extremals in control-affine stabilization problems
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2024
%P 931-933
%V 79
%N 5
%U http://geodesic.mathdoc.fr/item/RM_2024_79_5_a7/
%G en
%F RM_2024_79_5_a7

Voir la notice de l'article provenant de la source Math-Net.Ru

[1] N. N. Krasovskii, J. Math. Sci. (N. Y.), 100:5 (2000), 2458–2469 | DOI | MR | Zbl

[2] I. Fantoni and R. Lozano, Non-linear control for underacuated mechanical systems, Comm. Control Engrg. Ser., Springer, London, 2002, xi+295 pp. | DOI

[3] A. M. Formalskii, Stabilisation and motion control of unstable objects, De Gruyter Stud. Math. Phys., 33, De Gruyter, Berlin, 2015, xvi+239 pp. | DOI | MR | Zbl

[4] M. I. Ronzhina, J. Appl. Math. Mech., 80:1 (2016), 16–23 | DOI | MR | Zbl

[5] L. A. Manita and M. I. Ronzhina, J. Math. Sci. (N. Y.), 221:1 (2017), 137–153 | DOI | MR | Zbl

[6] M. I. Zelikin and V. F. Borisov, Theory of chattering control with applications to astronautics, robotics, economics, and engineering, Systems Control: Found. Appl., Birkhäuser, Boston, MA, 1994, xvi+244 pp. | DOI | MR | Zbl

[7] M. I. Zelikin and V. F. Borisov, J. Math. Sci. (N. Y.), 114:3 (2003), 1227–1344 | DOI | MR | Zbl

[8] M. W. Hirsch, C. C. Pugh, and M. Shub, Invariant manifolds, Lecture Notes in Math., 583, Springer, Berlin, 1977, vi+150 pp. | DOI | MR | Zbl

[9] C. Lare, W. N. White, and S. Hossain, J. Dyn. Sys. Meas. Control, 141:12 (2019), 121006, 11 pp. | DOI