Geodesic
On the robust stability of solutions to linear differential equations of neutral type with periodic coefficients
Sibirskij žurnal industrialʹnoj matematiki, Tome 18 (2015) no. 4, pp. 18-29

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We consider a class of linear systems of delay differential equations with periodic coefficients. We establish conditions on the perturbations of the coefficients under which the exponential stability of the zero solution is preserved and obtain estimates characterizing the exponential decay of solutions to the perturbed systems at infinity.
Keywords: time-delay systems of neutral type, periodic coefficients, robust stability, Lyapunov–Krasovskii functional, Lyapunov differential equation. 
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     author = {G. V. Demidenko and I. I. Matveeva},
     title = {On the robust stability of solutions to linear differential equations of neutral type with periodic coefficients},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {18--29},
     publisher = {mathdoc},
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     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2015_18_4_a2/}
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G. V. Demidenko; I. I. Matveeva. On the robust stability of solutions to linear differential equations of neutral type with periodic coefficients. Sibirskij žurnal industrialʹnoj matematiki, Tome 18 (2015) no. 4, pp. 18-29. http://geodesic.mathdoc.fr/item/SJIM_2015_18_4_a2/