Geodesic
On Lyapunov reducibility of systems with aftereffect
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 25 (2002) no. 2, pp. 27-30.

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The conditions reducability of linear system restriction with time lag on finite-dimansional subspaces of initial functions by means of Lyapunov reduction to the system of ordinary differentional equations with bounded and continuous on semiaxis matrix of coefficients are found. 
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T. S. Bykova; E. L. Tonkov. On Lyapunov reducibility of systems with aftereffect. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 25 (2002) no. 2, pp. 27-30. http://geodesic.mathdoc.fr/item/IIMI_2002_25_2_a5/

[1] Myshkis A. D., Lineinye differentsialnye uravneniya s zapazdyvayuschim argumentom, Nauka, M., 1972, 352 pp. | MR | Zbl

[2] Tonkov E. L., “Pokazateli Lyapunova i lyapunovskaya privodimost lineinoi sistemy s posledeistviem”, Vestn. Udm. un-ta, 2001, no. 3, 13–30