2 papers
math.DS2025
Integral gains for non-autonomous Wazewski systems
Ivan Atamas, Sergey Dashkovskiy, Vitalii Slynko
In this work we consider linear non-autonomous systems of Wazewski type on Hilbert spaces and provide a new approach to study their stability properties by means of a decomposition…
math.DS2023
Asymptotic stability conditions for linear coupled impulsive systems with time-invariant subsystems
Vitalii Slynko, Sergey Dashkovskiy, Ivan Atamas
This article proposes an approach to construct a Lyapunov function for a linear coupled impulsive system consisting of two time-invariant subsystems. In contrast to various variant…