Overview of recent advances in stability of linear systems with time‐varying delays

XM Zhang, QL Han, A Seuret… - IET Control Theory & …, 2019 - Wiley Online Library
This study provides an overview and in‐depth analysis of recent advances in stability of
linear systems with time‐varying delays. First, recent developments of a delay convex …

Recent developments on the stability of systems with aperiodic sampling: An overview

L Hetel, C Fiter, H Omran, A Seuret, E Fridman… - Automatica, 2017 - Elsevier
This article presents basic concepts and recent research directions about the stability of
sampled-data systems with aperiodic sampling. We focus mainly on the stability problem for …

A relaxed quadratic function negative-determination lemma and its application to time-delay systems

CK Zhang, F Long, Y He, W Yao, L Jiang, M Wu - Automatica, 2020 - Elsevier
The quadratic function with respect to the time-varying delay has often been introduced for
the analysis of systems with time-varying delays. To determine the negative definiteness of …

An extended reciprocally convex matrix inequality for stability analysis of systems with time-varying delay

CK Zhang, Y He, L Jiang, M Wu, QG Wang - Automatica, 2017 - Elsevier
The reciprocally convex combination lemma (RCCL) is an important technique to develop
stability criteria for the systems with a time-varying delay. This note develops an extended …

A generalized free-matrix-based integral inequality for stability analysis of time-varying delay systems

HB Zeng, XG Liu, W Wang - Applied Mathematics and Computation, 2019 - Elsevier
This paper focuses on the delay-dependent stability problem of time-varying delay systems.
A generalized free-matrix-based integral inequality (GFMBII) is presented. This inequality is …

An improved reciprocally convex inequality and an augmented Lyapunov–Krasovskii functional for stability of linear systems with time-varying delay

XM Zhang, QL Han, A Seuret, F Gouaisbaut - Automatica, 2017 - Elsevier
This paper is concerned with stability of a linear system with a time-varying delay. First, an
improved reciprocally convex inequality including some existing ones as its special cases is …

Stability of linear systems with time-varying delays using Bessel–Legendre inequalities

A Seuret, F Gouaisbaut - IEEE Transactions on Automatic …, 2017 - ieeexplore.ieee.org
This paper addresses the stability problem of linear systems with a time-varying delay.
Hierarchical stability conditions based on linear matrix inequalities are obtained from an …

Solution estimates to Caputo proportional fractional derivative delay integro-differential equations

O Tunç, C Tunç - Revista de la Real Academia de Ciencias Exactas …, 2023 - Springer
In this article, a class of scalar generalized Caputo proportional fractional derivative delay
integro-differential equations (CPFrDIDEs) with multiple non-linear kernels and multiple time …

Notes on stability of time-delay systems: bounding inequalities and augmented Lyapunov-Krasovskii functionals

CK Zhang, Y He, L Jiang, M Wu - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
The bounding inequalities and the Lyapunov-Krasovskii functionals (LKFs) are important for
the stability analysis of time-delay systems. Much attention has been paid to develop tighter …

Eco-driving control architecture for platoons of uncertain heterogeneous nonlinear connected autonomous electric vehicles

A Coppola, DG Lui, A Petrillo… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
The improvement of energy performance for platoons of autonomous connected vehicles is
one of the major challenges the road transport sector is facing with. To this aim, this work …