TY  - JOUR
A1  - Dashkovskiy, Sergey
A1  - Slynko, Vitalii
T1  - Stability conditions for impulsive dynamical systems
T2  - Mathematics of Control, Signals, and Systems
N2  - In this work, we consider impulsive dynamical systems evolving on an infinite-dimensional space and subjected to external perturbations. We look for stability conditions that guarantee the input-to-state stability for such systems. Our new dwell-time conditions allow the situation, where both continuous and discrete dynamics can be unstable simultaneously. Lyapunov like methods are developed for this purpose. Illustrative finite and infinite dimensional examples are provided to demonstrate the application of the main results. These examples cannot be treated by any other published approach and demonstrate the effectiveness of our results.
KW  - lyapunov methods
KW  - stability
KW  - robustness
KW  - impulsive systems
KW  - infinite-dimensional systems
KW  - nonlinear systems
KW  - input-to-state stability
Y1  - 2022
UR  - https://opus.bibliothek.uni-wuerzburg.de/frontdoor/index/index/docId/26839
UR  - https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-268390
SN  - 1435-568X
VL  - 34
IS  - 1
ER  -