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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…
Input-to-state stability of interconnected hybrid systems
Sergey Dashkovskiy, Michael Kosmykov
We consider the interconnections of arbitrary topology of a finite number of ISS hybrid systems and study whether the ISS property is maintained for the overall system. We show tha…
Stability of interconnected impulsive systems with and without time-delays using Lyapunov methods
Sergey Dashkovskiy, Michael Kosmykov, Andrii Mironchenko +1
In this paper we consider input-to-state stability (ISS) of impulsive control systems with and without time-delays. We prove that if the time-delay system possesses an exponential…
A small gain condition for interconnections of ISS systems with mixed ISS characterizations
Sergey Dashkovskiy, Michael Kosmykov, Fabian Wirth
We consider interconnected nonlinear systems with external inputs, where each of the subsystems is assumed to be input-to-state stable (ISS). Sufficient conditions of small gain ty…