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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…
math.DS2023
Comparison theorem for infinite-dimensional linear impulsive systems
Vladyslav Bivziuk, Sergey Dashkovskiy, Vitalii Slynko
We consider a linear impulsive system in an infinite-dimensional Banach space. It is assumed that the moments of impulsive action satisfy the averaged dwell-time condition and the…