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 …

Monotone-delay-interval-based Lyapunov functionals for stability analysis of systems with a periodically varying delay

HB Zeng, Y He, KL Teo - Automatica, 2022 - Elsevier
This paper focuses on the stability analysis of linear time-invariant (LTI) systems with a time-
varying delay. The delay is assumed to be periodically varying. Furthermore, for each …

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 …

Further improvement of Jensen inequality and application to stability of time-delayed systems

JH Kim - Automatica, 2016 - Elsevier
This paper is concerned with the delay-dependent stability for the linear systems with a time-
varying delay. To get a result in the form of LMI from a Lyapunov–Krasovskii functional, an …

A novel Lyapunov functional for stability of time-varying delay systems via matrix-refined-function

TH Lee, JH Park - Automatica, 2017 - Elsevier
This paper is concerned with the development of novel stability criteria for time-varying
delayed systems. To this end, a new function which consisted of two quadratic functions with …

Hierarchical stability conditions for time-varying delay systems via an extended reciprocally convex quadratic inequality

HB Zeng, HC Lin, Y He, KL Teo, W Wang - Journal of the Franklin Institute, 2020 - Elsevier
This paper studies the stability problems of linear systems with time-varying delays. Firstly,
an extended reciprocally convex quadratic inequality and an improved quadratic function …

Relaxed conditions for stability of time-varying delay systems

TH Lee, JH Park, S Xu - Automatica, 2017 - Elsevier
In this paper, the problem of delay-dependent stability analysis of time-varying delay
systems is investigated. Firstly, a new inequality which is the modified version of free-matrix …

Stability and stabilization of TS fuzzy systems with time-varying delays via augmented Lyapunov-Krasovskii functionals

OM Kwon, MJ Park, JH Park, SM Lee - Information Sciences, 2016 - Elsevier
This paper is concerned with the problem of stability and stabilization for Takagi-Sugeno
(TS) fuzzy systems with time-varying delays. By constructing a suitable Lyapunov-Krasovskii …

Improved inequality-based functions approach for stability analysis of time delay system

Z Li, H Yan, H Zhang, X Zhan, C Huang - Automatica, 2019 - Elsevier
This paper focuses on stability analysis for time delay system. By introducing appropriate
intermediate polynomial, a new slack variable-dependent inequality involving double …