Geodesic
Justification of an effective algorithm for determining the pointwise completeness and pointwise degeneracy of linear delay systems of order~12
Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 2, pp. 59-73.

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We justify an effective algorithm for the reduction of a linear system or order 12 with delay $h$ to the normal form. In case the active matrix of the system is degenerate, we also justify a modified algorithm for checking the poitwise completeness of the system. To this end, it suffices to find all real roots of one polynomial of degree 4 whose all coefficients depend on the geometric invariants of the normal form and the exponent of the product of one-half of the active matrix by $h$.
Keywords: pointwise completeness of a delay system of ordinary differential equations. 
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A. A. Korobov. Justification of an effective algorithm for determining the pointwise completeness and pointwise degeneracy of linear delay systems of order~12. Sibirskij žurnal industrialʹnoj matematiki, Tome 17 (2014) no. 2, pp. 59-73. http://geodesic.mathdoc.fr/item/SJIM_2014_17_2_a6/

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[2] Korobov A. A., “O tochechno polnykh parakh lineinykh preobrazovanii”, Sib. zhurn. industr. matematiki, 13:3(43) (2010), 58–67 | MR | Zbl

[3] Korobov A. A., “Novye effektivnye usloviya tochechnoi polnoty dlya lineinykh sistem s zapazdyvaniem”, Vychisl. matematika, differentsialnye uravneniya, informatsionnye tekhnologii, Materialy Mezhdunar. konf., posvyasch. pamyati Ts. B. Shoinzhurova, Izd. VSGTU, Ulan-Ude, 2009, 216–223