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 …

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 …

A relaxed quadratic function negative-determination lemma and its application to time-delay systems

CK Zhang, F Long, Y He, W Yao, L Jiang, M Wu - Automatica, 2020 - Elsevier
The quadratic function with respect to the time-varying delay has often been introduced for
the analysis of systems with time-varying delays. To determine the negative definiteness of …

Monotone-delay-interval-based Lyapunov functionals for stability analysis of systems with a periodically varying delay

HB Zeng, Y He, KL Teo - Automatica, 2022 - Elsevier
This paper focuses on the stability analysis of linear time-invariant (LTI) systems with a time-
varying delay. The delay is assumed to be periodically varying. Furthermore, for each …

A generalized free-matrix-based integral inequality for stability analysis of time-varying delay systems

HB Zeng, XG Liu, W Wang - Applied Mathematics and Computation, 2019 - Elsevier
This paper focuses on the delay-dependent stability problem of time-varying delay systems.
A generalized free-matrix-based integral inequality (GFMBII) is presented. This inequality is …

Sampled memory-event-triggered fuzzy load frequency control for wind power systems subject to outliers and transmission delays

S Yan, Z Gu, JH Park, X **e - IEEE Transactions on Cybernetics, 2022 - ieeexplore.ieee.org
This study is devoted to event-triggered fuzzy load frequency control (LFC) for wind power
systems (WPSs) with measurement outliers and transmission delays. Due to the integration …

Additional functions of variable-augmented-based free-weighting matrices and application to systems with time-varying delay

Y He, CK Zhang, HB Zeng, M Wu - International Journal of Systems …, 2023 - Taylor & Francis
This paper investigates the characteristics of the variable-augmented-based free-weighting
matrices and studies their application to the stability analysis of the systems with time …

A delay-kernel-dependent approach to saturated control of linear systems with mixed delays

S Yan, Z Gu, JH Park, X **e - Automatica, 2023 - Elsevier
This article proposes a delay-kernel-dependent approach to deal with the saturated control
problem of linear systems subject to mixed delays: discrete delay and distributed delay …

Hierarchical type stability criteria for delayed neural networks via canonical Bessel–Legendre inequalities

XM Zhang, QL Han, Z Zeng - IEEE transactions on cybernetics, 2017 - ieeexplore.ieee.org
This paper is concerned with global asymptotic stability of delayed neural networks. Notice
that a Bessel-Legendre inequality plays a key role in deriving less conservative stability …

Relaxed stability criteria of time-varying delay systems via delay-derivative-dependent slack matrices

W Wang, HB Zeng, KL Teo, YJ Chen - Journal of the Franklin Institute, 2023 - Elsevier
This paper is focused on delay-dependent stability problem of time-varying delay systems.
By introducing delay-derivative-dependent slack matrices, relaxed stability conditions are …