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Positivity and uniform exponential stability for Volterra integro-dynamical systems on time scales
Nonlinear Analysis: Hybrid Systems ( IF 3.7 ) Pub Date : 2021-05-03 , DOI: 10.1016/j.nahs.2021.101049
Başak Karpuz , Halis Can Koyuncuoğlu

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.



中文翻译:

Volterra积分动力系统在时间尺度上的正指数和一致指数稳定性

这项研究的主要目的有两个方面:首先,我们通过梅茨勒矩阵为沃尔特拉积分动力系统在时间尺度上的正性提供了必要和充分的条件。其次,我们表明系统的正性意味着在足够的条件下平凡解的均匀指数稳定性。

更新日期:2021-05-03
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