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 …

Survey on time-delay approach to networked control

K Liu, A Selivanov, E Fridman - Annual Reviews in Control, 2019 - Elsevier
This paper provides a survey on time-delay approach to networked control systems (NCSs).
The survey begins from a brief summary on fundamental network-induced issues in NCSs …

Generalized reciprocally convex combination lemmas and its application to time-delay systems

A Seuret, K Liu, F Gouaisbaut - Automatica, 2018 - Elsevier
Various efficient matrix inequalities have recently been proposed to deal with the stability
analysis of linear systems with time-varying delays. This paper provides more insights on the …

A survey of inequality techniques for stability analysis of time‐delay systems

J Chen, JH Park, S Xu, B Zhang - International Journal of …, 2022 - Wiley Online Library
During the past decades, much attention has been paid to the stability problem of linear time‐
delay systems. In order to obtain tractable stability conditions shown in the linear matrix …

Hidden Markov model-based asynchronous quantized sampled-data control for fuzzy nonlinear Markov jump systems

T Wu, L Xiong, J Cao, JH Park - Fuzzy Sets and Systems, 2022 - Elsevier
This paper investigates the problem of asynchronous control for nonlinear Markov jump
systems on the basis of fuzzy quantized sampled-data controller. The modes of the designed …

Networked control under communication constraints

K Liu, E Fridman, Y Xia - Springer, 2020 - Springer
With the development of communication techniques, network topologies and control
methods, networked control systems (NCSs) have received increasing attention in the past …

A generalized multiple-integral inequality based on free matrices: Application to stability analysis of time-varying delay systems

JH Lee, JH Kim, PG Park - Applied Mathematics and Computation, 2022 - Elsevier
This study proposed a novel generalized multiple-integral inequality based on free matrices
in a quadratic form of an augmented vector stacked with a state and its derivative, with …

Relaxed stability criteria for time-delay systems: a novel quadratic function convex approximation approach

S Wang, W Ji, Y Jiang, Y Zhu… - IEEE/CAA Journal of …, 2024 - ieeexplore.ieee.org
This paper develops a quadratic function convex approximation approach to deal with the
negative definite problem of the quadratic function induced by stability analysis of linear …

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 …

An extended generalized integral inequality based on free matrices and its application to stability analysis of neural networks with time-varying delays

JH Lee, HW Na, PG Park - Journal of the Franklin Institute, 2023 - Elsevier
This paper proposes an extended generalized integral inequality based on free matrices
(EGIIFM) and applies it to the stability analysis of neural networks with time-varying delays …