2 papers
math.DS2012
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…
math.DS2012
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…