Geodesic
Stabilization of the trivial solution for an $n$-th order stationary linear differential equation
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1982), pp. 57-61

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In this paper we give a criterion for a linear equation of any arbitrary order with constant coefficients to have the following property: the trivial solution of the equation may be stabilized by a periodic perturbation which is small in average and is equal to zero on the most part of the period. An algorithm for construction such perturbation is given. 
@article{VMUMM_1982_3_a13,
     author = {V. Klajnig},
     title = {Stabilization of the trivial solution for an $n$-th order stationary linear differential equation},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {57--61},
     publisher = {mathdoc},
     number = {3},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a13/}
}
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V. Klajnig. Stabilization of the trivial solution for an $n$-th order stationary linear differential equation. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1982), pp. 57-61. http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a13/