This book presents the recently introduced and already widely referred semi-discretization
method for the stability analysis of delayed dynamical systems. Delay differential equations …

Time-delay naturally appears in many control systems, and it is frequently a source of
instability. However, for some systems, the presence of delay can have a stabilizing effect …

This paper studies the impact of realistic wide-area measurement system (WAMS) time-
varying delays on the dynamic behavior of power systems. A detailed model of WAMS …

In the present paper, sufficient conditions for the exponential stability of linear systems with
infinite distributed delays are presented. Such systems arise in population dynamics, in …

This paper is concerned with the stability analysis of distributed delay systems using
complete-Lyapunov functionals. Numerous articles aim at approximating their parameters …

This paper addresses the stability problem for systems with state-dependent state delay
(delay which involves the state of the system). Different from the time-dependent delay, the …

By taking advantage of properties of the Laguerre polynomials, we propose a new inequality
called Bessel–Laguerre integral inequality, which can be applied to stability analysis of …

This manuscript presents a recent overview of time-delay systems as described in the
proposal of the ANR project SCIDIS. After a brief description of the various problems arising …

This article describes the stability crossing set for linear time-delay systems of arbitrary order
with three delays. The crossing frequency set, which consists of all frequencies where a pair …

The Jensen inequality has been recognized as a powerful tool to deal with the stability of
time-delay systems. Recently, a new inequality that encompasses the Jensen inequality was …