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 …

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 control problem of a general class of perturbed linear invariant time‐delay systems
within the Sliding Mode Control framework is addressed. We introduce a novel class of …

In this paper, the exponential stability (ES) and L 2-exponential stability (L 2-ES) of
continuous-time delay-difference systems are studied. Firstly, the relationship between ES …

This paper investigates necessary and sufficient Lyapunov conditions for Input-to-State
Stability (ISS) of Linear Difference Equations with pointwise delays and an additive …

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 article, we analyze the robust stability of integral delay systems with a single delay.
We first derive a general result based on the complete type functional that depends on the …

We present estimates of the region of attraction of a class of non-linear integral delay
equations. The approach follows the same lines as the Lyapunov method by the first …

In this paper, we establish a necessary and sufficient stability condition for a class of two
coupled first-order linear hyperbolic partial differential equations. Through a backstepping …

Integral delay systems with piecewise constant kernel are studied. The delay Lyapunov
matrix for the case of commensurate delays is computed by solving an auxiliary boundary …