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 …

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 …

Finite-Time Event-Triggered Control for T–S Fuzzy Markov Jump Systems

H Shen, F Li, H Yan, HR Karimi… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
This paper investigates the finite-time event-triggered'I-1 control problem for Takagi-Sugeno
Markov jump fuzzy systems. Because of the sampling behaviors and the effect of network …

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 …

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 …

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 …

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 …

Reliable event-triggered asynchronous extended passive control for semi-Markov jump fuzzy systems and its application

H Shen, M Chen, ZG Wu, J Cao… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
This paper is concerned with the reliable extended passive control problem for semi-Markov
jump Takagi-Sugeno (TS) fuzzy systems based on an event-triggered mechanism (ETM). An …

Additional functions of variable-augmented-based free-weighting matrices and application to systems with time-varying delay

Y He, CK Zhang, HB Zeng, M Wu - International Journal of Systems …, 2023 - Taylor & Francis
This paper investigates the characteristics of the variable-augmented-based free-weighting
matrices and studies their application to the stability analysis of the systems with time …