This study provides an overview and in‐depth analysis of recent advances in stability of
linear systems with time‐varying delays. First, recent developments of a delay convex …

Stability problems of continuous-time recurrent neural networks have been extensively
studied, and many papers have been published in the literature. The purpose of this paper is …

The quadratic function with respect to the time-varying delay has often been introduced for
the analysis of systems with time-varying delays. To determine the negative definiteness of …

This paper is concerned with stability of a linear system with a time-varying delay. First, an
improved reciprocally convex inequality including some existing ones as its special cases is …

Global asymptotic stability is an important issue for wide applications of recurrent neural
networks with time-varying delays. The Lyapunov–Krasovskii functional method is a …

The bounding inequalities and the Lyapunov-Krasovskii functionals (LKFs) are important for
the stability analysis of time-delay systems. Much attention has been paid to develop tighter …

This paper is concerned with the stability analysis of linear systems with time-varying delays
in a given range. A new type of augmented Lyapunov functional is proposed which contains …

A system is said to have a delay when the rate of variation in the system state depends on
past states. Such a system is called a time-delay system. Delays appear frequently in real …

A novel method is proposed in this note for stability analysis of systems with a time-varying
delay. Appropriate Lyapunov functional and augmented Lyapunov functional are introduced …

Recent years have witnessed a resurgence of research interests in analysing the stability of
time-delay systems. Many results have been reported using a variety of approaches and …