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 …

Delay‐independent conditions of exponential ISS for linear time‐varying delay differential systems

V De Iuliis, C Manes - … Journal of Robust and Nonlinear Control, 2024 - Wiley Online Library
This work focuses on linear continuous‐time systems with time‐varying delays, in the
general case of time‐varying matrices. Initially, we explore the case of positive systems …

Stability analysis of linear delay systems via Internally Positive Representations: an overview

V De Iuliis, A Germani, C Manes - Accounting for Constraints in Delay …, 2022 - Springer
The stability analysis of time-delay systems is a tough task even in the linear case,
especially when time-varying delays are considered. In recent years, for the class of positive …

[HTML][HTML] Conditions of stability and guaranteed convergence rate for linear time-varying discrete-time delay systems

V De Iuliis, C Manes - Systems & Control Letters, 2023 - Elsevier
This work introduces novel results on the stability of linear time-varying discrete-time delay
systems, addressing both internal stability and input-to-state stability. We start from the …

Stability of Delayed Homogeneous Positive Differential–Difference Systems

Q **ao, Z Zeng, T Huang… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Stability theory of linear differential–difference system has been well-established, while
fewer results can be found for nonlinear differential–difference systems. In this article …

Stability conditions for linear discrete‐time switched systems in block companion form

V De Iuliis, A D'Innocenzo, A Germani… - IET Control Theory & …, 2020 - Wiley Online Library
Switched models whose dynamic matrices are in block companion form arise in theoretical
and applicative problems such as representing switched ARX models in state‐space form …

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 …

On the stability of discrete-time linear switched systems in block companion form

V De Iuliis, A D'Innocenzo, A Germani, C Manes - IFAC-PapersOnLine, 2020 - Elsevier
Inspired by some insightful results on the delay-independent stability of discrete-time
systems with time-varying delays, in this work we study the arbitrary switching stability for …

First-moment stability of Markov Jump Linear Systems with homogeneous and inhomogeneous transition probabilities

V De Iuliis, C Manes… - 2022 IEEE 61st …, 2022 - ieeexplore.ieee.org
This work provides 1-moment stability conditions for discrete-time Markov Jump Linear
Systems under time-homogeneous and time-inhomogeneous transition probabilities. For the …

Internally positive representations and stability analysis of linear differential systems with multiple time‐varying delays

V De Iuliis, A D'Innocenzo, A Germani… - IET Control Theory & …, 2019 - Wiley Online Library
This work introduces the internally positive representation of linear time‐varying delay
differential systems, in the general case of multiple time‐varying delays. The technique …