Hierarchy of LMI conditions for the stability analysis of time-delay systems

A Seuret, F Gouaisbaut - Systems & Control Letters, 2015 - Elsevier
Assessing stability of time-delay systems based on the Lyapunov–Krasovskii functionals has
been the subject of many contributions. Most of the results are based, first, on an a priori …

Second-order consensus for multi-agent systems with switching topology and communication delay

J Qin, H Gao, WX Zheng - Systems & Control Letters, 2011 - Elsevier
In this paper, two kinds of consensus problems for second-order agents under directed and
arbitrarily switching topologies are investigated, that is, the cases without and with …

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 …

Delay‐dependent stability and stabilization of neutral time‐delay systems

J Sun, GP Liu, J Chen - … of Robust and Nonlinear Control: IFAC …, 2009 - Wiley Online Library
This paper is concerned with the problem of stability and stabilization of neutral time‐delay
systems. A new delay‐dependent stability condition is derived in terms of linear matrix …

A survey on Lyapunov-based methods for stability of linear time-delay systems

J Sun, J Chen - Frontiers of Computer Science, 2017 - Springer
Recently, stability analysis of time-delay systems has received much attention. Rich results
have been obtained on this topic using various approaches and techniques. Most of those …

Delay-dependent stability analysis of linear time delay systems

F Gouaisbaut, D Peaucelle - IFAC Proceedings Volumes, 2006 - Elsevier
AbstractStability of time delay systems is investigated considering the delay-dependent
case. The system without delays is assumed stable and conservative conditions are derived …

On the use of the Wirtinger inequalities for time-delay systems

A Seuret, F Gouaisbaut - IFAC Proceedings Volumes, 2012 - Elsevier
The paper addresses the stability problem of linear time delay system. In the literature, the
most popular approach to tackle this problem relies on the use of Lyapunov-Krasovskii …

Complete quadratic Lyapunov functionals using Bessel-Legendre inequality

A Seuret, F Gouaisbaut - 2014 European control conference …, 2014 - ieeexplore.ieee.org
The article is concerned with the stability analysis of time-delay systems using complete-
Lyapunov functionals. This class of functionals has been employed in the literature because …

Delay-dependent robust stability of time delay systems

F Gouaisbaut, D Peaucelle - IFAC Proceedings Volumes, 2006 - Elsevier
In this note, we provided an improved way of constructing a Lyapunov-Krasovskii functional
for a linear time delay system. This technique is based on the reformulation of the original …

Quadratic separation for feedback connection of an uncertain matrix and an implicit linear transformation

D Peaucelle, D Arzelier, D Henrion, F Gouaisbaut - Automatica, 2007 - Elsevier
Topological separation is investigated in the case of an uncertain time-invariant matrix
interconnected with an implicit linear transformation. A quadratic separator independent of …