344 citations · 889 across the 22 of their papers we have counts for
23 papers
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…
Well-posedness and robust stability of a nonlinear ODE-PDE system
S. Dashkovskiy, O. Kapustyan, V. Slynko
This work studies stability and robustness of a nonlinear system given as an interconnection of an ODE and a parabolic PDE subjected to external disturbances entering through the b…
Robustness properties of a large-amplitude, high-frequency extremum seeking control scheme
Raik Suttner, Sergey Dashkovskiy
We analyze stability and robustness properties of an extremum seeking scheme that employs oscillatory dither signals with sufficiently large amplitudes and frequencies. Our study t…
Relative Stability in the Sup-norm and Input-to-state Stability in the Spatial Sup-norm for Parabolic PDEs
Jun Zheng, Guchuan Zhu, Sergey Dashkovskiy
In this paper, we introduce the notion of relative -equi-stability (RKES) to characterize the uniformly continuous dependence of (weak) solutions on external disturban…