A new robust adaptive tracking strategy to uncertain time-delay nonlinear systems with a general form

ZG Liu, L Xue, ZY Sun - Automatica, 2022 - Elsevier
In this paper, the robust adaptive tracking control problem is investigated for nonlinear time-
delay systems with changing system powers. Different from the existing results, the …

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 …

Adaptive Tracking Control of High-Order Nonlinear Systems With Time-Varying Delays Under Asymmetric Output Constraints

Y Niu, Y Yang, H Wang, B Niu… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
This paper addresses the problem of adaptive tracking control of high-order nonlinear
systems with time-varying delays under asymmetric output constraints. Unlike the existing …

Estimates for solutions of homogeneous time-delay systems: comparison of Lyapunov–Krasovskii and Lyapunov–Razumikhin techniques

G Portilla, IV Alexandrova, S Mondié… - International Journal of …, 2022 - Taylor & Francis
In this contribution, the estimates for the response of time-delay systems with nonlinear
homogeneous right-hand side of degree strictly greater than one are constructed. The …

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 of Robust Type for the Stability Analysis in Time-Delay Systems

TH Scholl - arXiv preprint arXiv:2312.16738, 2023 - arxiv.org
Inspired by the widespread theory of complete-type Lyapunov-Krasovskii functionals, the
article considers an alternative class of Lyapunov-Krasovskii functionals that intends to …

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 …

[HTML][HTML] Функционалы Ляпунова-Красовского для однородных систем с несколькими запаздываниями

ИВ Александрова, АП Жабко - Вестник Санкт-Петербургского …, 2021 - cyberleninka.ru
Предложены явные конструкции функционалов Ляпунова-Красовского для однородных
систем с несколькими постоянными запаздываниями и порядком однородности правых …