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 …

A comprehensive review of stability analysis of continuous-time recurrent neural networks

H Zhang, Z Wang, D Liu - IEEE Transactions on Neural …, 2014 - ieeexplore.ieee.org
Stability problems of continuous-time recurrent neural networks have been extensively
studied, and many papers have been published in the literature. The purpose of this paper is …

[Књига][B] Stability of time-delay systems

K Gu, J Chen, VL Kharitonov - 2003 - books.google.com
For both their theoretical and practical impact, time-delay systems have been an enduring
theme in the study of differential equations, stochastic processes, game theory, and systems …

An integral inequality in the stability problem of time-delay systems

K Gu - Proceedings of the 39th IEEE conference on decision …, 2000 - ieeexplore.ieee.org
An integral inequality in the stability problem of time-delay systems Page 1 Proceedings of the
39Ih IEEE Conference on Decision and Control Sydney, Australia December, 2000 - An Integral …

Wirtinger's inequality and Lyapunov-based sampled-data stabilization

K Liu, E Fridman - Automatica, 2012 - Elsevier
Discontinuous Lyapunov functionals appeared to be very efficient for sampled-data systems
(Fridman, 2010; Naghshtabrizi, Hespanha, & Teel, 2008). In the present paper, new …

Tutorial on Lyapunov-based methods for time-delay systems

E Fridman - European Journal of Control, 2014 - Elsevier
Time-delay naturally appears in many control systems, and it is frequently a source of
instability. However, for some systems, the presence of delay can have a stabilizing effect …

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 …

Lyapunov–Krasovskii approach to the robust stability analysis of time-delay systems

VL Kharitonov, AP Zhabko - Automatica, 2003 - Elsevier
Lyapunov–Krasovskii approach to the robust stability analysis of time-delay systems -
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[Књига][B] Advances in linear matrix inequality methods in control

L El Ghaoui, S Niculescu - 2000 - SIAM
Linear matrix inequalities (LMIs) have emerged recently as a useful tool for solving a
number of control problems. The basic idea of the LMI method in control is to interpret a …

A survey of linear matrix inequality techniques in stability analysis of delay systems

S Xu, J Lam - International Journal of Systems Science, 2008 - Taylor & Francis
Recent years have witnessed a resurgence of research interests in analysing the stability of
time-delay systems. Many results have been reported using a variety of approaches and …