Stability and L∞-gain of positive fractional-order coupled differential-difference systems with unbounded time-varying delays

H Qiu, J Cao, H Liu - Chaos, Solitons & Fractals, 2023 - Elsevier
This work aims to research the positivity, stability, and L∞-gain of incommensurate fractional-
order coupled differential-difference systems (FOCDDSs) with unbounded time-varying …

State bounding description and reachable set estimation for discrete-time genetic regulatory networks with time-varying delays and bounded disturbances

Y Xue, C Liu, X Zhang - IEEE Transactions on Systems, Man …, 2022 - ieeexplore.ieee.org
This article investigates the problems of state bounding description and reachable set
estimation for discrete-time delayed genetic regulatory networks with bounded disturbances …

Stability of homogeneous positive systems with time-varying delays

Q Xiao, Z Huang, Z Zeng, T Huang, FL Lewis - Automatica, 2023 - Elsevier
Stability analysis of positive linear systems has been well-developed, while attention to
positive homogeneous nonlinear systems is notably less paid. This note deepens and …

Comparison principle for positive time-delay systems: An extension and its application

PT Nam, TN Nguyen, H Trinh - Journal of the Franklin Institute, 2021 - Elsevier
This paper proposes an extended comparison principle for continuous-time linear positive
time-delay systems. Unlike the existing comparison principle, which uses a constant initial …

Positivity and stability analysis of homogeneous coupled differential-difference equations with time-varying delays

Y Cui, J Shen, W Zhang, Z Feng… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
This article studies the positivity and stability of homogeneous coupled differential-difference
equations with time-varying delays. First, a sufficient positivity condition is proposed for the …

Stability analysis of coupled differential-difference systems with multiple time-varying delays: A positivity-based approach

V De Iuliis, A D'Innocenzo, A Germani… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
This article introduces novel results on linear coupled differential-difference systems with
multiple time-varying delays. First, necessary and sufficient conditions for the positivity and …

New results on reachable sets bounding for delayed positive singular systems with bounded disturbances

NH Sau, DC Huong, MV Thuan - Journal of the Franklin Institute, 2021 - Elsevier
This paper addresses the reachable sets bounding problem for time-delay positive singular
systems subject to bounded disturbances. The time delays in the considered systems are …

Finite-time boundedness and control of positive coupled differential-difference equations with bounded time-varying delay

P Zhao, G Liu - Journal of the Franklin Institute, 2021 - Elsevier
This paper is concerned with the problems of finite-time boundedness and finite-time control
for positive coupled differential-difference equations (CDDEs) with bounded time-varying …

Positivity and stability of delayed timescale-type differential-difference equations

Q Xiao, Z Zeng, T Huang… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
In this article, positivity and global exponential stability for a class of timescale-type
differential-difference equations with bounded time-varying delay are considered. At first, a …

-Stability of Positive Homogeneous Differential-difference Equations with Unbounded Time-varying Delays

Y Cui, Z Wu, X Gong, MV Basin… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
This note studies the stability problem of nonlinear positive differential-difference equations
with unbounded time-varying delays. Under assumptions on the nonlinear vector fields …