Geodesic
On global controllability of the complete set of Lyapunov invariants for periodic systems
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2002), pp. 79-80 
S. N. Popova. On global controllability of the complete set of Lyapunov invariants for periodic systems. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, no. 2 (2002), pp. 79-80. http://geodesic.mathdoc.fr/item/IIMI_2002_2_a21/
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     title = {On global controllability of the complete set of {Lyapunov} invariants for periodic systems},
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     url = {http://geodesic.mathdoc.fr/item/IIMI_2002_2_a21/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that a property of uniform complete controllability of the periodic system $\dot x=B(t)u$, $t\in\mathbb{R}$, $x\in\mathbb{R}^n$, $u\in\mathbb{R}^m$ and a property of global controllability of complete totality of Lyapunov' invariants of this system are equivalent.

[1] 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

[2] Brunovsky P., “Controllability and linear closed-loop controls in linear periodic systems”, Journal of Differential Equations, 6 (1969), 296–313 | DOI | MR | Zbl