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 …

Matrix-injection-based transformation method for discrete-time systems with time-varying delay

CK Zhang, KY Xie, Y He, J She, M Wu - Science China Information …, 2023 - Springer
Conclusion This study has investigated the stability of discrete-time systems with a time-
varying delay. To handle the negativity condition of the forward difference of Lyapunov …

A survey of inequality techniques for stability analysis of time‐delay systems

J Chen, JH Park, S Xu, B Zhang - International Journal of …, 2022 - Wiley Online Library
During the past decades, much attention has been paid to the stability problem of linear time‐
delay systems. In order to obtain tractable stability conditions shown in the linear matrix …

Non-fragile extended dissipative synchronization control of delayed uncertain discrete-time neural networks

B Adhira, G Nagamani, D Dafik - Communications in Nonlinear Science …, 2023 - Elsevier
This article is concerned with the problem of robust extended dissipative synchronization for
a class of delayed discrete-time neural networks through non-fragile state-feedback control …

Delay-variation-dependent summation inequality and its application to stability analysis of discrete-time systems with time-varying delay

CR Wang, Y He, CK Zhang, WH Chen, M Wu - Systems & Control Letters, 2024 - Elsevier
This work tends to research the stability of the discrete-time systems with a time-varying
delay based on the Lyapunov-Krasovskii functional (LKF) method. In order to acquire a less …

An extended generalized integral inequality based on free matrices and its application to stability analysis of neural networks with time-varying delays

JH Lee, HW Na, PG Park - Journal of the Franklin Institute, 2023 - Elsevier
This paper proposes an extended generalized integral inequality based on free matrices
(EGIIFM) and applies it to the stability analysis of neural networks with time-varying delays …

Improved robust stability and stabilisation conditions for discrete-time linear systems with time-varying delay

M Venkatesh, S Patra, G Ray - International Journal of …, 2022 - inderscienceonline.com
This paper presents robust stability and stabilisation problems of linear discrete-time
systems with interval time-varying state-delay. By invoking a new Lyapunov-Krasovskii …

Gain‐scheduled control for discrete‐time non‐linear parameter‐varying systems with time‐varying delays

MLC Peixoto, MF Braga… - IET Control Theory & …, 2020 - Wiley Online Library
This study addresses the gain‐scheduled control problem for discrete‐time delayed non‐
linear parameter‐varying (NLPV) and linear parameter‐varying (LPV) systems. First, by …

A new delay-variation-dependent stability criterion for delayed discrete-time systems

PT Nam, TH Luu - Journal of the Franklin Institute, 2020 - Elsevier
The problem of Lyapunov stability of delayed discrete-time systems is studied. Both the time-
delay and its variation are assumed to vary within known intervals. Here, a novel idea is to …

Enhanced stability criteria for discrete-time systems with time-varying delay

L Zhu, C Zhu - International Journal of Control, Automation and …, 2021 - Springer
The stability problem of discrete-time linear systems with interval time-varying delays is
investigated in this paper. According to the latest summation inequality technique, an …