Positivity and uniform exponential stability for Volterra integro-dynamical systems on time scales

The main objective of this study is two-fold: First, we provide necessary and sufficient conditions for the positivity of Volterra integro-dynamical systems on time scales by means of Metzler matrices. Secondly, we show that positivity of the system implies uniform exponential stability of the trivi...

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Bibliographic Details
Published in:Nonlinear analysis. Hybrid systems 2021-08, Vol.41, p.101049, Article 101049
Main Authors: Karpuz, Başak, Koyuncuoğlu, Halis Can
Format: Article
Language:English
Subjects:
Metzler matrix
Positive system
Time scale
Uniform exponential stability
Volterra integro-dynamical system
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Summary:The main objective of this study is two-fold: First, we provide necessary and sufficient conditions for the positivity of Volterra integro-dynamical systems on time scales by means of Metzler matrices. Secondly, we show that positivity of the system implies uniform exponential stability of the trivial solution under sufficient conditions.
ISSN:1751-570X
DOI:10.1016/j.nahs.2021.101049