Geodesic
Estimates of the exponential decay of solutions to linear systems of neutral type with periodic coefficients
Sibirskij žurnal industrialʹnoj matematiki, Tome 22 (2019) no. 3, pp. 96-103

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We consider the class of linear systems of delay differential equations with periodic coefficients. Using a special class of Lyapunov — Krasovskiĭ functionals, we establish conditions for the exponential stability of the zero solution and obtain estimates characterizing the exponential decay rate of solutions at infinity.
Keywords: time-delay system of neutral type, periodic coefficients, exponential stability, Lyapunov — Krasovskiĭ functional. 
@article{SJIM_2019_22_3_a7,
     author = {I. I. Matveeva},
     title = {Estimates of the exponential decay of solutions to linear systems of neutral type with periodic coefficients},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {96--103},
     publisher = {mathdoc},
     volume = {22},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2019_22_3_a7/}
}
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I. I. Matveeva. Estimates of the exponential decay of solutions to linear systems of neutral type with periodic coefficients. Sibirskij žurnal industrialʹnoj matematiki, Tome 22 (2019) no. 3, pp. 96-103. http://geodesic.mathdoc.fr/item/SJIM_2019_22_3_a7/