Fault-tolerant control for stochastic switched IT2 fuzzy uncertain time-delayed nonlinear systems

J Sun, H Zhang, Y Wang, S Sun - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
This article devotes to solve the fault-tolerant control problem based on interval type-2 (IT2)
Takagi–Sugeno (T–S) fuzzy stochastic switched uncertain time-delayed systems with signal …

Single/multiple integral inequalities with applications to stability analysis of time-delay systems

J Chen, S Xu, B Zhang - IEEE Transactions on Automatic …, 2016 - ieeexplore.ieee.org
This technical note is concerned with the problem of stability analysis for time-delay systems.
A new series of integral inequalities to bound a single integral term is presented by …

An improved summation inequality to discrete-time systems with time-varying delay

CK Zhang, Y He, L Jiang, M Wu - Automatica, 2016 - Elsevier
The summation inequality plays an important role in developing delay-dependent criteria for
discrete-time systems with time-varying delay. This note proposes an improved summation …

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 …

Stability analysis of delayed discrete-time systems based on a delay-square-dependent Lyapunov functional

XM Zhang, QL Han, X Ge, C Peng - Automatica, 2023 - Elsevier
Recent research has shown that one can obtain a less conservative stability criterion for a
continuous-time linear system with a time-varying delay by introducing a Lyapunov …

Stability analysis of continuous-time systems with time-varying delay using new Lyapunov–Krasovskii functionals

J Chen, JH Park, S Xu - Journal of the Franklin Institute, 2018 - Elsevier
This paper studies the stability of linear continuous-time systems with time-varying delay by
employing new Lyapunov–Krasovskii functionals. Based on the new Lyapunov–Krasovskii …

Stability analysis of systems with time‐varying delay: a quadratic‐partitioning method

J Chen, JH Park, S Xu - IET Control Theory & Applications, 2019 - Wiley Online Library
During the course of analysing the stability of systems with time‐varying delay, stability
criteria are often shown in the form of the first‐or second‐order polynomial functions with …

Generalised dissipative asynchronous output feedback control for Markov jump repeated scalar non‐linear systems with time‐varying delay

J Wang, S Huo, J Xia, JH Park… - IET Control Theory & …, 2019 - Wiley Online Library
This work strives for the issue of generalised dissipative asynchronous output feedback
control for Markov jump repeated scalar non‐linear systems with time‐varying delay. The …

D1. 1-Overview of Lyapunov methods for time-delay systems

A Seuret, F Gouaisbaut, L Baudouin - 2016 - hal.science
This manuscript presents a recent overview of time-delay systems as described in the
proposal of the ANR project SCIDIS. After a brief description of the various problems arising …

Summation inequalities to bounded real lemmas of discrete-time systems with time-varying delay

CK Zhang, Y He, L Jiang, M Wu… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
Summation inequality is an important technique for analysis of discrete-time systems with a
time-varying delay. It seems that from the literature a tighter inequality usually leads to a less …