Introduction to time-delay systems

E Fridman - Analysis and Control. Birkhäuser, 2014 - Springer
Introduction to Time-Delay Systems Introduction Page 1 ERRATUM Introduction to Time-Delay
Systems Analysis and Control Emilia Fridman © Springer International Publishing Switzerland …

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 …

Stability of time-delay systems via Wirtinger-based double integral inequality

MJ Park, OM Kwon, JH Park, SM Lee, EJ Cha - Automatica, 2015 - Elsevier
Based on the Wirtinger-based integral inequality, a double integral form of the Wirtinger-
based integral inequality (hereafter called as Wirtinger-based double integral inequality) is …

Event-based H∞ filtering for sampled-data systems

XM Zhang, QL Han - Automatica, 2015 - Elsevier
This paper is concerned with event-based H∞ filtering for sampled-data systems. First, an
event-based data packet processor is introduced to release sampled measurement outputs …

Non-fragile H∞ synchronization of memristor-based neural networks using passivity theory

K Mathiyalagan, R Anbuvithya, R Sakthivel, JH Park… - Neural Networks, 2016 - Elsevier
In this paper, we formulate and investigate the mixed H∞ and passivity based
synchronization criteria for memristor-based recurrent neural networks with time-varying …

Exponential pointwise stabilization of semilinear parabolic distributed parameter systems via the Takagi–Sugeno fuzzy PDE model

JW Wang, HN Wu - IEEE Transactions on Fuzzy Systems, 2016 - ieeexplore.ieee.org
This paper deals with the problem of exponential stabilization for nonlinear parabolic
distributed parameter systems using the Takagi-Sugeno (TS) fuzzy partial differential …

Stability of systems with fast-varying delay using improved Wirtinger's inequality

A Seuret, F Gouaisbaut… - 52nd IEEE conference on …, 2013 - ieeexplore.ieee.org
This paper considers the stability of systems with fast-varying delay. The novelty of the paper
comes from the consideration of a new integral inequality which is proved to be less …

Finite-time non-fragile passivity control for neural networks with time-varying delay

S Rajavel, R Samidurai, J Cao, A Alsaedi… - Applied Mathematics and …, 2017 - Elsevier
In this paper, the problem of finite-time non-fragile passivity control for neural networks with
time-varying delay is studied. We construct a new Lyapunov–Krasovskii function with triple …

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 …