An overview of stability conditions in terms of the Lyapunov matrix for time-delay systems is
presented. The main results and proofs are presented in details for the case of systems with …

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 …

We present a new necessary and sufficient condition of exponential stability of neutral-type
linear time invariant (LTI) systems with one delay. The new stability criterion is given in terms …

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 …

Recently, necessary conditions of stability for time-delay systems based on the handling of
the Lyapunov–Krasovskii functional have been studied in the literature giving rise to a new …

The problems of robust stabilization and adaptive robust controller design are considered for
a class of uncertain neutral systems with time delays and nonlinear uncertainties. In this …

In this paper, a two-layer supervisory control scheme is proposed for discrete-time linear
systems with state/input constraints, including multiple state time-delays, parametric …

This work is dedicated to the stability analysis of time-delay systems with a single constant
delay using the Lyapunov–Krasovskii theorem. This approach has been widely used in the …

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 …

There are a number of recent results aimed at developing finite necessary and sufficient
stability tests for linear time-invariant time delay systems within the framework of Lyapunov …