4 papers
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…
Input-to-state stabilization of the perturbed systems in the generalized triangular form
Sergey Dashkovskiy, Svyatoslav S. Pavlichkov
We consider nonlinear control systems of the so-called generalized triangular form (GTF) with time-varying and periodic dynamics which linearly depends on some external disturbance…
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…