An overview of stability conditions in terms of the Lyapunov matrix for linear integral delay
equations is presented. Several examples in the analysis, control and modeling motivate …

The famous discretized Lyapunov functional method of K. Gu employing the functionals of
general structure with piecewise linear matrix kernels is known to deliver effective stability …

This contribution presents two exponential stability criteria (necessary and sufficient
conditions) for linear systems with multiple pointwise and distributed delays. An important …

New necessary and sufficient stability tests for neutral‐type linear time delay systems are
presented. They are based on functionals with prescribed derivative depending on the delay …

In this paper, we present necessary and sufficient stability tests for two classes of linear
delay systems: neutral-type linear time-delay systems and linear time-delay systems with …

A new necessary and sufficient stability test in a tractable number of operations for linear
neutral-type delay systems is introduced. It is developed in the Lyapunov-Krasovskii …

An excellent activation function (AF) can improve the convergence speed and robustness of
the Recurrent neural dynamic (RND) model. However, the existing AF can only improve the …

Abstract By the Lyapunov Stability Test, we refer to a previously developed criterion for the
exponential stability of linear time-invariant delay systems. This criterion requires the …

This work aims to derive a sufficient stability condition for linear systems with multiple delays
based on a discretization procedure of Lyapunov–Krasovskii functionals. This procedure …

In this work, a new exponential stability criterion of finite dimension based on the delay
Lyapunov matrix is derived for linear systems with multiple commensurate delays. It relies on …