Exponential stability of solutions to nonlinear time-delay systems of neutral type
Date
2016-01-11
Authors
Demidenko, Gennadii
Matveeva, Inessa
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We consider a nonlinear time-delay system of neutral equations with constant coefficients in the linear terms
d/dt (y(t) + Dy(t - τ)) = Ay(t) + By(t - τ) + F(t, y(t), y(t - τ)),
where
‖F(T, u, v)‖ ≤ q1‖u‖1+ω1 + q2‖v‖1+ω2, q1, q2, ω1, ω2 > 0.
We obtain estimates characterizing the exponential decay of solutions at infinity and estimates for attraction sets of the zero solution.
Description
Keywords
Time-delay systems, Neutral equation, Exponential stability, Attraction sets
Citation
Demidenko, G., & Matveeva, I. (2016). Exponential stability of solutions to nonlinear time-delay systems of neutral type. <i>Electronic Journal of Differential Equations, 2016</i>(19), pp. 1-20.
Rights
Attribution 4.0 International