344 citations · 889 across the 22 of their papers we have counts for
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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…
Reduction of the small gain condition for large-scale interconnections
S. Dashkovskiy, M. Kosmykov
The small gain condition is sufficient for input-to-state stability (ISS) of interconnected systems. However, verification of the small gain condition requires large amount of comp…
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…