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 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     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},
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     url = {http://geodesic.mathdoc.fr/item/VUU_2008_2_a18/}
}
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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/

[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