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 …

Robust load frequency control for power system considering transmission delay and sampling period

XC Shangguan, CK Zhang, Y He, L **… - IEEE Transactions …, 2020 - ieeexplore.ieee.org
Uncertain transmission delays, sampling periods, parameters uncertainties regarding the
power system, load fluctuations, and the intermittent generation of renewable energy …

Free-matrix-based integral inequality for stability analysis of systems with time-varying delay

HB Zeng, Y He, M Wu, J She - IEEE Transactions on Automatic …, 2015 - ieeexplore.ieee.org
The free-weighting matrix and integral-inequality methods are widely used to derive delay-
dependent criteria for the stability analysis of time-varying-delay systems because they …

Wirtinger-based integral inequality: Application to time-delay systems

A Seuret, F Gouaisbaut - Automatica, 2013 - Elsevier
In the last decade, the Jensen inequality has been intensively used in the context of time-
delay or sampled-data systems since it is an appropriate tool to derive tractable stability …

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 …

Disturbance observer-based integral sliding-mode control for systems with mismatched disturbances

J Zhang, X Liu, Y **a, Z Zuo… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
This paper develops the disturbance observer-based integral sliding-mode control approach
for continuous-time linear systems with mismatched disturbances or uncertainties. The …

Notes on stability of time-delay systems: bounding inequalities and augmented Lyapunov-Krasovskii functionals

CK Zhang, Y He, L Jiang, M Wu - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
The bounding inequalities and the Lyapunov-Krasovskii functionals (LKFs) are important for
the stability analysis of time-delay systems. Much attention has been paid to develop tighter …

Stability of discrete-time systems with time-varying delays via a novel summation inequality

A Seuret, F Gouaisbaut… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
This technical note is concerned with the stability analysis of discrete linear systems with
time-varying delays. The novelty of the technical note comes from the consideration of a new …

A refined input delay approach to sampled-data control

E Fridman - Automatica, 2010 - Elsevier
This paper considers sampled-data control of linear systems under uncertain sampling with
the known upper bound on the sampling intervals. Recently a discontinuous Lyapunov …

Delay-dependent stability for load frequency control with constant and time-varying delays

L Jiang, W Yao, QH Wu, JY Wen… - IEEE Transactions on …, 2011 - ieeexplore.ieee.org
Load frequency control (LFC) requires transmitting measurements from remote RTUs to
control center and control signals from the control center to plant side. Constant delays exist …