Hierarchy of LMI conditions for the stability analysis of time-delay systems
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 …
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
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 …
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 …
time-delay systems. Many results have been reported using a variety of approaches and …
Delay‐dependent stability and stabilization of neutral time‐delay systems
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 …
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
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 …
have been obtained on this topic using various approaches and techniques. Most of those …
Delay-dependent stability analysis of linear time delay systems
AbstractStability of time delay systems is investigated considering the delay-dependent
case. The system without delays is assumed stable and conservative conditions are derived …
case. The system without delays is assumed stable and conservative conditions are derived …
On the use of the Wirtinger inequalities for time-delay systems
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 …
most popular approach to tackle this problem relies on the use of Lyapunov-Krasovskii …
Complete quadratic Lyapunov functionals using Bessel-Legendre inequality
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 …
Lyapunov functionals. This class of functionals has been employed in the literature because …
Delay-dependent robust stability of time delay systems
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 …
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
Topological separation is investigated in the case of an uncertain time-invariant matrix
interconnected with an implicit linear transformation. A quadratic separator independent of …
interconnected with an implicit linear transformation. A quadratic separator independent of …