Complete type functionals for homogeneous time delay systems

AP Zhabko, IV Alexandrova - Automatica, 2021 - Elsevier
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 …

On stability of nonlinear homogeneous systems with distributed delays having variable kernels

A Aleksandrov, D Efimov, E Fridman - Systems & Control Letters, 2024 - Elsevier
The stability problem for nonlinear homogeneous systems with distributed delay and
variable kernel is studied. Both, the Lyapunov–Krasovskii and the Razumikhin, approaches …

Stability analysis of hybrid time-delay systems using homogeneity property

Y He, X Zhao, G Zhu, C Gong - ISA transactions, 2022 - Elsevier
In this paper, stability analysis is studied for hybrid time-delay systems (HTDSs) with
homogeneity. Using Lyapunov–Krasovskii functional method, a novel and relaxed condition …

Lyapunov–Krasovskii functionals for homogeneous time delay systems of neutral type

IV Alexandrova, AP Zhabko - International Journal of Robust …, 2022 - Wiley Online Library
In this article, we present a general construction of Lyapunov–Krasovskii functionals for a
class of neutral‐type time delay systems with a linear difference part and homogeneous right …

Estimates for weighted homogeneous delay systems: A Lyapunov-Krasovskii-Razumikhin approach

G Portilla, IV Alexandrova… - 2021 American Control …, 2021 - ieeexplore.ieee.org
In this paper, we present estimates for solutions and for the attraction domain of the trivial
solution for systems with delayed and nonlinear weighted homogeneous right-hand side of …

Lyapunov–Krasovskii functionals for a class of homogeneous perturbed nonlinear time delay systems

G Portilla, IV Alexandrova… - 2021 60th IEEE …, 2021 - ieeexplore.ieee.org
In this contribution, we study an homogeneous class of nonlinear time delay systems with
time-varying perturbations. Using the Lyapunov-Krasovskii approach, we introduce a …

ПРОЦЕССЫ УПРАВЛЕНИЯ И УСТОЙЧИВОСТЬ

АС ЕРЕМИН - ПРОЦЕССЫ УПРАВЛЕНИЯ И УСТОЙЧИВОСТЬ …, 2022 - elibrary.ru
В работе рассматриваются уравнения с запаздывающим аргументом, приводятся
некоторые отличия динамики от обыкновенных дифференциальных уравнений …

Lyapunov-Krasovskii functionals for some classes of nonlinear time delay systems

G Portilla, IV Alexandrova, S Mondié - arXiv preprint arXiv:2105.04041, 2021 - arxiv.org
In this contribution, we study an homogeneous class of nonlinear time delay systems with
time-varying perturbations. Using the Lyapunov-Krasovskii approach, we introduce a …