Although mathematics ranks last in the Six Arts (rites, music, archery, chariot racing,
calligraphy and mathematics), it is used in the most practical issues and affairs. Maximally, it …

This paper states some results aiming at finding the parameters of a controller that provides
the maximum decay rate of the closed-loop response for a linear time-invariant time-delay …

This paper addresses the exponential stability of linear time-delay systems of neutral type. In
general, it is quite a challenge to establish conditions on the parameters of the system in …

Spontaneous oscillations induced by time delays are observed in many real-world systems.
Phase reduction theory for limit-cycle oscillators described by delay-differential equations …

We study the behaviour of solutions to nonlinear autonomous functional differential
equations of mixed type in the neighbourhood of an equilibrium. We show that all solutions …

This paper considers the Multiplicity-Induced-Dominancy (MID) property for second order
neutral time-delay differential equations. Necessary and sufficient conditions for the …

To study the nonlinear dynamics, such as Hopf bifurcation, of partial differential equations
with delay, one needs to consider the characteristic equation associated to the linearized …

The aim of this article is to derive explicit formulas for the projectors on the generalized
eigenspaces associated to some eigenvalues for linear functional differential equations …

\noindent Electronic Journal of Differential Equations , Vol . 2004 ( 2004 ) , No . 3 , pp . 1 −−
1 7 . ISSN : 1 72 − 6691 Page 1 \noindent Electronic Journal of Differential Equations , Vol …

This paper provides control-oriented delay-based modelling of a one-layer neural network of
Hopfield-type subject to an external input designed as delayed feedback. The specificity of …