Geodesic
Estimates for solutions to a class of nonlinear time-delay systems of neutral type
Electronic Journal of Differential Equations, Tome 2015 (2015).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We consider nonlinear time-delay systems of neutral type with constant coefficients in the linear terms, $$ \frac{d}{dt}\big(y(t) + D y(t-\tau)\big) = A y(t) + B y(t-\tau) + F(t, y(t), y(t-\tau)). $$ We obtain estimates characterizing the exponential decay of solutions at infinity, and dependending on the norms of the powers of D.
Classification : 34K20
Keywords: time-delay systems, neutral type, exponential stability, Lyapunov-Krasovskiĭ functional 
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     author = {Demidenko, Gennadii V. and Matveeva, Inessa I.},
     title = {Estimates for solutions to a class of nonlinear time-delay systems of neutral type},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2015},
     year = {2015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a5/}
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Demidenko, Gennadii V.; Matveeva, Inessa I. Estimates for solutions to a class of nonlinear time-delay systems of neutral type. Electronic Journal of Differential Equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a5/