Geodesic
On pointwise degenerate linear delay-differential systems with nonnilpotent passive matrices
Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 3, pp. 39-50

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Complete description is given of pointwise degenerate fourth-order linear systems of delay differential equations (with constant coefficients) with semisimple active matrix and nonnilpotent passive matrix. These systems are described in the language of the geometrical invariants of certain elements of the semigroup generated by the matrices of the system.
Keywords: controlled delay linear system, relatively zero controllable system, pointwise completeness of a delay system of ordinary differential equations, degeneration direction, minimal moment of degeneration. 
@article{SJIM_2017_20_3_a4,
     author = {A. A. Korobov},
     title = {On pointwise degenerate linear delay-differential systems with nonnilpotent passive matrices},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {39--50},
     publisher = {mathdoc},
     volume = {20},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2017_20_3_a4/}
}
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A. A. Korobov. On pointwise degenerate linear delay-differential systems with nonnilpotent passive matrices. Sibirskij žurnal industrialʹnoj matematiki, Tome 20 (2017) no. 3, pp. 39-50. http://geodesic.mathdoc.fr/item/SJIM_2017_20_3_a4/