Lyapunov stability tests for integral delay systems

S Mondié, A Egorov, R Ortiz - Annual Reviews in Control, 2025 - Elsevier
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 finite Lyapunov matrix-based stability criterion for linear delay systems via piecewise linear approximation

IV Alexandrova - Systems & Control Letters, 2023 - Elsevier
Recently, a number of Lyapunov matrix-based necessary and sufficient stability tests which
require a finite number of operations to be verified were presented for linear time-invariant …

A new stability criterion and its application to robust stability analysis for linear systems with distributed delays

DA Kudryakov, IV Alexandrova - Automatica, 2023 - Elsevier
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 …

Stabilisation of distributed time-delay systems: a smoothed spectral abscissa optimisation approach

L Vite, MA Gomez, S Mondié… - International Journal of …, 2022 - Taylor & Francis
We address the stabilisation problem of linear time-invariant systems with pointwise and
distributed delays. We first introduce the concept of the smoothed spectral abscissa, a robust …

Robust stabilization of uncertain nonlinear systems with infinite distributed input delays

Q Zhou, L Liu, G Feng - Journal of the Franklin Institute, 2023 - Elsevier
This paper studies the robust stabilization problem of a class of uncertain Lipschitz nonlinear
systems with infinite distributed input delays. A novel robust predictor feedback controller is …

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 …

Vladimir Kharitonov: Achievements in research

A Egorov - International Journal of Robust and Nonlinear …, 2022 - Wiley Online Library
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 …

[PDF][PDF] Robust delay-dependent stability for Takagi-Sugeno fuzzy systems with mixed time-varying delays

M Parimala, R Preetha, A Manivannan - International Journal of …, 2021 - academia.edu
This study presents the problem of robust stability analysis for the Takagi-Sugeno (TS) fuzzy
systems with mixed time-varying delays. In the proposed TS fuzzy system, there occurred …

Dissipative Control of Linear Time-Delay Systems: Full State Feedback

Q Feng, F Xiao, X Wang - arXiv preprint arXiv:2202.10397, 2022 - arxiv.org
The control and observation of autonomous linear time delay systems (LTDSs) remain a
challenging problem when considering an unlimited number of pointwise and general …

Contribuciones al estudio de sistemas lineales con retardos: el enfoque de funcionales de tipo completo

S Mondié, MA Gomez - Revista Iberoamericana de Automática e …, 2022 - riunet.upv.es
[ES] Se introducen resultados recientes del enfoque de funcionales de Lyapunov-Krasovski
de tipo completo para sistemas lineales con retardos. Se explican brevemente los …