344 citations · 889 across the 22 of their papers we have counts for
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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…
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…
Dwell-time stability conditions for infinite dimensional impulsive systems
Sergey Dashkovskiy, Vitalii Slynko
We consider nonlinear impulsive systems on Banach spaces subjected to disturbances and look for dwell-time conditions guaranteeing the the ISS property. In contrary to many existin…
Almost ISS property for feedback connected systems
Petro Feketa, Humberto Stein Shiromoto, Sergey Dashkovskiy
Small-gain conditions used in analysis of feedback interconnections are contraction conditions which imply certain stability properties. Such conditions are applied to a finite or…
Prolongation and stability of Zeno solutions to hybrid dynamical systems
Sergey Dashkovskiy, Petro Feketa
The paper proposes a framework for the construction of solutions to a hybrid dynamical system that exhibit Zeno behavior. A new approach that enables solution to be prolonged after…
Input-to-state stability of nonlinear impulsive systems
Sergey Dashkovskiy, Andrii Mironchenko
We prove that impulsive systems, which possess an ISS Lyapunov function, are ISS for time sequences satisfying the fixed dwell-time condition. If an ISS Lyapunov function is the ex…