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 …

Survey on time-delay approach to networked control

K Liu, A Selivanov, E Fridman - Annual Reviews in Control, 2019 - Elsevier
This paper provides a survey on time-delay approach to networked control systems (NCSs).
The survey begins from a brief summary on fundamental network-induced issues in NCSs …

Finite-Time Event-Triggered Control for T–S Fuzzy Markov Jump Systems

H Shen, F Li, H Yan, HR Karimi… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
This paper investigates the finite-time event-triggered'I-1 control problem for Takagi-Sugeno
Markov jump fuzzy systems. Because of the sampling behaviors and the effect of network …

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 …

Stability analysis of discrete-time systems with time-varying delay via a delay-dependent matrix-separation-based inequality

CK Zhang, WH Chen, C Zhu, Y He, M Wu - Automatica, 2023 - Elsevier
This paper is concerned with the stability analysis of discrete-time systems with a time-
varying delay. Different from the recent related works that reduce the conservatism by …

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 …

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 …

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 …

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 …