Geodesic
Controlling solutions to a linear differential equation
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2009), pp. 25-33 
I. N. Sergeev. Controlling solutions to a linear differential equation. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2009), pp. 25-33. http://geodesic.mathdoc.fr/item/VMUMM_2009_3_a4/
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     author = {I. N. Sergeev},
     title = {Controlling solutions to a linear differential equation},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {25--33},
     year = {2009},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2009_3_a4/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

Both global attainability and global reducibility problems for a control system equivalent to a linear differential equation are positively solved. Furthermore, the existence of a linear equation having a given Cauchy matrix on a given segment and coinciding with given equations on the left and right of that segment is proved. The results obtained allow one to construct a linear equation with the fundamental solutions system possessing preassigned properties.