Recently, the possibility to verify positive definiteness of Lyapunov–Krasovskii functionals
only on a specific Razumikhin-type set of functions to conclude on the stability of linear time …

In this paper, we analyze the asymptotic stability of linear systems with multiple uncertain
delays assuming the nominal delays to be constant with possible zero or nonzero values …

For linear time-invariant time delay systems, the so-called Lyapunov–Krasovskii functionals
of complete type (Kharitonov and Zhabko, 2003) are known to be effective in the stability …

This work is devoted to the robust stability analysis of linear systems with distributed delays.
The approach is based on recent results in the Lyapunov‐Krasovskii framework, where a …

The paper is devoted to the robust stability analysis of linear neutral type time delay systems
with a constant delay and norm-bounded uncertainties. The method is based on the …

In this paper, a modification of the Krasovskii theorem for a nonlinear class of systems is
presented. The idea is to replace the positive definiteness condition of the functional with …

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 new Lyapunov matrix based approach to the robustness analysis developed in recent
years for linear time delay systems is nontrivially extended to address some problems of …

Inspired by the widespread theory of complete-type Lyapunov-Krasovskii functionals, the
article considers an alternative class of Lyapunov-Krasovskii functionals that intends to …

In this note, nonlinear time delay systems with homogeneous right-hand sides of degree
greater than one and a constant delay are studied. Under an assumption that the …