344 citations · 889 across the 22 of their papers we have counts for
6 papers · 1 filter
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…
Dwell-time conditions for robust stability of impulsive systems
Sergey Dashkovskiy, Andrii Mironchenko
We prove that impulsive systems, which possess an ISS Lyapunov function, are ISS for impulse time sequences, which satisfy the fixed dwell-time condition. If the ISS Lyapunov funct…
Input-to-state stability of infinite-dimensional control systems
Sergey Dashkovskiy, Andrii Mironchenko
We develop tools for investigation of input-to-state stability (ISS) of infinite-dimensional control systems. We show that for certain classes of admissible inputs the existence of…
Small gain theorems for large scale systems and construction of ISS Lyapunov functions
Sergey N. Dashkovskiy, Björn S. Rüffer, Fabian R. Wirth
We consider interconnections of n nonlinear subsystems in the input-to-state stability (ISS) framework. For each subsystem an ISS Lyapunov function is given that treats the other s…
An ISS Small-Gain Theorem for General Networks
Sergey Dashkovskiy, Björn S. Rüffer, Fabian R. Wirth
We provide a generalized version of the nonlinear small-gain theorem for the case of more than two coupled input-to-state stable (ISS) systems. For this result the interconnection…