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 …

Recently, a number of Lyapunov matrix-based necessary and sufficient stability tests which
require a finite number of operations to be verified were presented for linear time-invariant …

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 …

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 …

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 …

A criterion for the exponential stability of linear differential systems with multiple delays is
obtained. The criterion is based on checking the positive definiteness of some matrix that …

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 …