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

Karpuz, Barak; KOYUNCUOĞLU, HALİS

doi:10.1016/j.nahs.2021.101049

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

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Karpuz B., KOYUNCUOĞLU H. C.

NONLINEAR ANALYSIS-HYBRID SYSTEMS, vol.41, 2021 (SCI-Expanded)

Publication Type: Article / Article
Volume: 41
Publication Date: 2021
Doi Number: 10.1016/j.nahs.2021.101049
Journal Name: NONLINEAR ANALYSIS-HYBRID SYSTEMS
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
Keywords: Time scale, Volterra integro-dynamical system, Metzler matrix, Positive system, Uniform exponential stability
Dokuz Eylül University Affiliated: Yes

Abstract

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. (C) 2021 Elsevier Ltd. All rights reserved.