Geodesic
The global control over asymptotical invariants of linear systems in small dimensions
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2008), pp. 54-56 
A. A. Kozlov. The global control over asymptotical invariants of linear systems in small dimensions. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2008), pp. 54-56. http://geodesic.mathdoc.fr/item/VUU_2008_2_a18/
@article{VUU_2008_2_a18,
     author = {A. A. Kozlov},
     title = {The global control over asymptotical invariants of linear systems in small dimensions},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {54--56},
     year = {2008},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2008_2_a18/}
}
TY  - JOUR
AU  - A. A. Kozlov
TI  - The global control over asymptotical invariants of linear systems in small dimensions
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2008
SP  - 54
EP  - 56
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VUU_2008_2_a18/
LA  - ru
ID  - VUU_2008_2_a18
ER  - 
%0 Journal Article
%A A. A. Kozlov
%T The global control over asymptotical invariants of linear systems in small dimensions
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2008
%P 54-56
%N 2
%U http://geodesic.mathdoc.fr/item/VUU_2008_2_a18/
%G ru
%F VUU_2008_2_a18

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

For two-dimensional linear uniformly controllable systems we study the properties of global controllability of Lyapunov exponents and global Lyapunov reducibility. For three-dimensional linear uniformly controllable systems we give the basic lemma providing the possibility to generalize the two-dimensional results for three-dimensional case.

[1] Tonkov E. L., “Uniform attainability and Lyapunov reducibility of bilinear control system”, Proceedings of the Steklov Institute of Mathematics, Suppl. 1, 2000, S228–S253 | MR | Zbl

[2] Makarov E. K., Popova S. N., “O globalnoi upravlyaemosti polnoi sovokupnosti lyapunovskikh invariantov dvumernykh lineinykh sistem”, Differents. uravneniya, 35:1 (1999), 97–106 | MR | Zbl

[3] Popova S. N., “O globalnoi upravlyaemosti pokazatelei Lyapunova lineinykh sistem”, Differents. uravneniya, 43:8 (2007), 1048–1054 | MR | Zbl