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 …

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 …

A Lyapunov–Krasovskii functional with prescribed derivative whose construction does not
require the stability of the system is introduced. It leads to the presentation of …

Time delay phenomena commonly exist in practical control systems, usually bringing
negative impacts on system performance, such as instability. In this article, 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 …

This paper mainly explores the secondary frequency control (SFC) for the islanded microgrid
(MG) with communication delays. First, a new SFC scheme based on adaptive event …

We present complete type Lyapunov functional for integral delay systems with constant
kernels and multiple delays. We introduce the Lyapunov matrix concept for this class of …

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 …