The MID property for a second-order neutral time-delay differential equation

A Benarab, I Boussaada, K Trabelsi… - … on System Theory …, 2020 - ieeexplore.ieee.org
This paper considers the Multiplicity-Induced-Dominancy (MID) property for second order
neutral time-delay differential equations. Necessary and sufficient conditions for the …

[HTML][HTML] Asymptotic behavior and stability of second order neutral delay differential equations

G Chen, O van Gaans, SV Lunel - Indagationes Mathematicae, 2014 - Elsevier
We study the asymptotic behavior of a class of second order neutral delay differential
equations by both a spectral projection method and an ordinary differential equation method …

[PDF][PDF] A fixed point approach towards stability of delay differential equations with applications to neural networks

G Chen - 2013 - scholarlypublications …
This thesis focuses on asymptotic behavior and stability of solutions of deterministic and
stochastic delay differential equations. A delay differential equation is a differential equation …

Contribution to the partial pole placement problem for some classes of time-delay systems with applications

A Benarab - 2022 - hal.science
One of the questions of ongoing interest for linear time-delay systems is to determine
conditions on the equation's parameters that guarantee the exponential stability of solutions …

[PDF][PDF] Asymptotic Behavior of First Order Scalar Linear Autonomous Retarded Functional Differential Equations

C McCalla - Functional DIfferential Equations, 2018 - academia.edu
This paper studies the asymptotic behavior of first order scalar linear autonomous Retarded
Functional Differential Equations (RFDE). A spectral decomposition of the solution in terms …

[HTML][HTML] Large time behavior of a linear difference equation with rationally non-related delays

M Pituk - Journal of Mathematical Analysis and Applications, 2013 - Elsevier
We consider the linear difference equation where aj> 0, 1≤ j≤ N, and the delays 0< r1<
r2<⋯< rN are not rationally related in the sense that rj/rk is irrational for some j and k. It is …