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Positivity and stability analysis of homogeneous coupled differential-difference equations with time-varying delays
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 …
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
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 …
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
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 …
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
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 …
systems, addressing both internal stability and input-to-state stability. We start from the …
Stability of Delayed Homogeneous Positive Differential–Difference Systems
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 …
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
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 …
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
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 …
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
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 …
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
This work provides 1-moment stability conditions for discrete-time Markov Jump Linear
Systems under time-homogeneous and time-inhomogeneous transition probabilities. For the …
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
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 …
differential systems, in the general case of multiple time‐varying delays. The technique …