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 …

Synchronization of an inertial neural network with time-varying delays and its application to secure communication

S Lakshmanan, M Prakash, CP Lim… - IEEE transactions on …, 2016 - ieeexplore.ieee.org
In this paper, synchronization of an inertial neural network with time-varying delays is
investigated. Based on the variable transformation method, we transform the second-order …

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 …

Tutorial on Lyapunov-based methods for time-delay systems

E Fridman - European Journal of Control, 2014 - Elsevier
Time-delay naturally appears in many control systems, and it is frequently a source of
instability. However, for some systems, the presence of delay can have a stabilizing effect …

Improved delay-range-dependent stability criteria for linear systems with time-varying delays

J Sun, GP Liu, J Chen, D Rees - Automatica, 2010 - Elsevier
This paper is concerned with the stability analysis of linear systems with time-varying delays
in a given range. A new type of augmented Lyapunov functional is proposed which contains …

Analysis on robust H∞ performance and stability for linear systems with interval time-varying state delays via some new augmented Lyapunov–Krasovskii functional

OM Kwon, MJ Park, JH Park, SM Lee, EJ Cha - Applied Mathematics and …, 2013 - Elsevier
In this paper, the problem of H∞ performance and stability analysis for linear systems with
interval time-varying delays is considered. First, by constructing a newly augmented …

A multiple integral approach to stability of neutral time-delay systems

M Fang, JH Park - Applied Mathematics and Computation, 2013 - Elsevier
This brief discusses the problem of delay-dependent stability analysis of neutral time-delay
systems. First a multiple integral inequality is proposed. Based on the integral inequality, a …

Synchronization of Markovian jumping inertial neural networks and its applications in image encryption

M Prakash, P Balasubramaniam, S Lakshmanan - Neural Networks, 2016 - Elsevier
This study is mainly concerned with the problem on synchronization criteria for Markovian
jumping time delayed bidirectional associative memory neural networks and their …

Polynomial-type Lyapunov–Krasovskii functional and Jacobi–Bessel inequality: Further results on stability analysis of time-delay systems

YB Huang, Y He, J An, M Wu - IEEE Transactions on Automatic …, 2020 - ieeexplore.ieee.org
To derive a less conservative stability criterion via Lyapunov-Krasovskii functional (LKF)
method, in previous literature, multiple integral terms are usually introduced into the …

Distributed weight-average-prediction control and stability analysis for an islanded microgrid with communication time delay

W Yao, Y Wang, Y Xu, C Deng… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
This paper studies the communication time-delay issue in islanded microgrids (MGs) with
the distributed secondary control architecture. Firstly, a time-delayed MG small-signal model …