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 …

Stability analysis of discrete-time neural networks with time-varying delay via an extended reciprocally convex matrix inequality

CK Zhang, Y He, L Jiang, QG Wang… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
This paper is concerned with the stability analysis of discrete-time neural networks with a
time-varying delay. Assessment of the effect of time delays on system stability requires …

Stability analysis of systems with time-varying delay via improved Lyapunov–Krasovskii functionals

F Long, CK Zhang, L Jiang, Y He… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
This paper is concerned with the delay-dependent stability analysis of linear systems with a
time-varying delay. Two types of improved Lyapunov-Krasovskii functionals (LKFs) are …

Stability analysis of continuous-time systems with time-varying delay using new Lyapunov–Krasovskii functionals

J Chen, JH Park, S Xu - Journal of the Franklin Institute, 2018 - Elsevier
This paper studies the stability of linear continuous-time systems with time-varying delay by
employing new Lyapunov–Krasovskii functionals. Based on the new Lyapunov–Krasovskii …

Necessary and sufficient conditions of exponential stability for delayed linear discrete-time systems

H Li, N Zhao, X Wang, X Zhang… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
This paper is concerned with the problem of stability analysis for delayed linear discrete-time
systems (DLDTSs). In order to obtain the necessary and sufficient criteria of exponential …

D1. 1-Overview of Lyapunov methods for time-delay systems

A Seuret, F Gouaisbaut, L Baudouin - 2016 - hal.science
This manuscript presents a recent overview of time-delay systems as described in the
proposal of the ANR project SCIDIS. After a brief description of the various problems arising …

Fuzzy-model-based H∞ control for discrete-time switched systems with quantized feedback and unreliable links

J Cheng, XH Chang, JH Park, H Li, H Wang - Information Sciences, 2018 - Elsevier
This paper addresses the issue of fuzzy-model-based H∞ control for discrete-time switched
systems with quantized feedback and unreliable communication links. It is assumed that …

Bessel summation inequalities for stability analysis of discrete‐time systems with time‐varying delays

SY Lee, JM Park, PG Park - International Journal of Robust and …, 2019 - Wiley Online Library
This paper is concerned with the stability analysis problems of discrete‐time systems with
time‐varying delays using summation inequalities. In the literature focusing on the Lyapunov …

Multiple integral inequalities and stability analysis of time delay systems

É Gyurkovics, T Takacs - Systems & Control Letters, 2016 - Elsevier
This paper is devoted to stability analysis of continuous-time delay systems based on a set
of Lyapunov–Krasovskii functionals. New multiple integral inequalities are derived that …

Gain‐scheduled control for discrete‐time non‐linear parameter‐varying systems with time‐varying delays

MLC Peixoto, MF Braga… - IET Control Theory & …, 2020 - Wiley Online Library
This study addresses the gain‐scheduled control problem for discrete‐time delayed non‐
linear parameter‐varying (NLPV) and linear parameter‐varying (LPV) systems. First, by …