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 …

Local stabilization for discrete-time systems with distributed state delay and fast-varying input delay under actuator saturations

Y Chen, Z Wang - IEEE Transactions on Automatic Control, 2020 - ieeexplore.ieee.org
This article is concerned with the local stabilization problem for discrete-time systems with
both distributed state delay and fast-varying input delay under actuator saturations. By …

Discrete-time systems with constrained time delays and delay-dependent Lyapunov functions

P Pepe - IEEE Transactions on Automatic Control, 2019 - ieeexplore.ieee.org
It is proved in this paper that the existence of a delay-dependent suitable Lyapunov function
is a necessary and sufficient condition for a discrete-time fully nonlinear time-delay system …

Adaptive fuzzy control of switched nonlinear systems with uncertain dead-zone: A mode-dependent fuzzy dead-zone model

Y Chen, Z Liu, CLP Chen, Y Zhang - Neurocomputing, 2021 - Elsevier
In this paper, an adaptive fuzzy control scheme is addressed for switched nonlinear systems
with uncertain dead-zone, unknown nonlinearities and immeasurable states. A novel …

Input-to-state stability of nonlinear impulsive systems subjects to actuator saturation and external disturbance

H Zhu, X Li, S Song - IEEE Transactions on Cybernetics, 2021 - ieeexplore.ieee.org
This article mainly explores the local input-to-state stability (LISS) property of a class of
nonlinear systems via a saturated control strategy, where both the external disturbance and …

Stability analysis of switched ARX models and application to learning with guarantees

V De Iuliis, F Smarra, C Manes… - Nonlinear Analysis: Hybrid …, 2022 - Elsevier
The main subject of this work is the stability analysis of Switched Auto-Regressive models
with eXogenous inputs (SARX), which constitute a reference class for switched and hybrid …

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 supervisory control scheme for uncertain constrained time-delay discrete-time linear systems

HR Ahmadzadeh, S Aghaei, V Puig - Journal of the Franklin Institute, 2023 - Elsevier
In this paper, a two-layer supervisory control scheme is proposed for discrete-time linear
systems with state/input constraints, including multiple state time-delays, parametric …

On stability analysis of discrete-time systems with constrained time-delays via nonlinear Halanay-type inequality

MT Grifa, P Pepe - IEEE Control Systems Letters, 2020 - ieeexplore.ieee.org
This letter aims to study the problem of stability for discrete-time fully nonlinear time-delay
systems with constrained time-varying delays. A delays digraph is used to model the …

Adaptive fuzzy fixed-time control of switched systems: Mode-dependent power integrator method

Y Chen, Z Liu, CLP Chen… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
The compensation for uncertain deadzone is of both theoretical and practical importance in
the adaptive fixed-time control of switched systems. So far, there exists no result reported on …