Geodesic
On the controllability of linear systems with constant coefficients
Sbornik. Mathematics, Tome 34 (1978) no. 2, pp. 147-160

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In the case where the constraint set $\Omega$; contains the point $0$, by using the methods of linear algebra the problem of $0$-controllability of a linear system with constant coefficients is reduced to the problem of $0$-controllability of a linear system with constant coefficients and with a matrix whose eigenvalues are all real and positive. An analogous fact is derived for the problem of $0$-accessibility. Bibliography: 10 titles. 
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     author = {Yu. M. Semenov},
     title = {On the controllability of linear systems with constant coefficients},
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Yu. M. Semenov. On the controllability of linear systems with constant coefficients. Sbornik. Mathematics, Tome 34 (1978) no. 2, pp. 147-160. http://geodesic.mathdoc.fr/item/SM_1978_34_2_a1/