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 …

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 …

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 …

A survey of the main research results of Professor Kharitonov is provided. The following
topics are considered: stability analysis of interval polynomials, quasi‐polynomials, and …

Integral delay equations (IDE) have applications in population dynamics and epidemics,
they simplify mathematical models and allow tracking the reproductive number which is …

Integral delay equations (IDE) have several applications, they can be found in mathematical
models of population and propagation of infectious diseases. Many of these models are sets …