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 …

Stability analysis for delayed neural networks via a generalized reciprocally convex inequality

HC Lin, HB Zeng, XM Zhang… - IEEE transactions on …, 2022 - ieeexplore.ieee.org
This article deals with the stability of neural networks (NNs) with time-varying delay. First, a
generalized reciprocally convex inequality (RCI) is presented, providing a tight bound for …

An extended reciprocally convex matrix inequality for stability analysis of systems with time-varying delay

CK Zhang, Y He, L Jiang, M Wu, QG Wang - Automatica, 2017 - Elsevier
The reciprocally convex combination lemma (RCCL) is an important technique to develop
stability criteria for the systems with a time-varying delay. This note develops an extended …

An overview of recent developments in Lyapunov–Krasovskii functionals and stability criteria for recurrent neural networks with time-varying delays

XM Zhang, QL Han, X Ge, D Ding - Neurocomputing, 2018 - Elsevier
Global asymptotic stability is an important issue for wide applications of recurrent neural
networks with time-varying delays. The Lyapunov–Krasovskii functional method is a …

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 …

Event-Triggered Control: A Switching Approach

A Selivanov, E Fridman - IEEE Transactions on Automatic …, 2015 - ieeexplore.ieee.org
Event-triggered approach to networked control systems is used to reduce the workload of
the communication network. For the static output-feedback continuous event-trigger may …

Stability analysis of systems with time-varying delay via relaxed integral inequalities

CK Zhang, Y He, L Jiang, M Wu, HB Zeng - Systems & Control Letters, 2016 - Elsevier
This paper investigates the stability of linear systems with a time-varying delay. The key
problem concerned is how to effectively estimate single integral term with time-varying delay …

Generalized reciprocally convex combination lemmas and its application to time-delay systems

A Seuret, K Liu, F Gouaisbaut - Automatica, 2018 - Elsevier
Various efficient matrix inequalities have recently been proposed to deal with the stability
analysis of linear systems with time-varying delays. This paper provides more insights on the …

Hierarchical stability conditions for time-varying delay systems via an extended reciprocally convex quadratic inequality

HB Zeng, HC Lin, Y He, KL Teo, W Wang - Journal of the Franklin Institute, 2020 - Elsevier
This paper studies the stability problems of linear systems with time-varying delays. Firstly,
an extended reciprocally convex quadratic inequality and an improved quadratic function …

Sufficient conditions for a class of matrix-valued polynomial inequalities on closed intervals and application to H∞ filtering for linear systems with time-varying delays

XM Zhang, QL Han, X Ge - Automatica, 2021 - Elsevier
This paper is concerned with sufficient conditions for a class of matrix-valued polynomial
inequalities on closed intervals and their application to H∞ filtering for linear systems with …