Title :
Constructions of ISS-Lyapunov functions for interconnected impulsive systems
Author :
Dashkovskiy, Sergey ; Mironchenko, Andrii
Author_Institution :
Erfurt Univ. of Appl. Sci., Erfurt, Germany
Abstract :
In this paper we provide two small-gain theorems for impulsive systems. The first of them provides a construction of an ISS-Lyapunov function for interconnections of impulsive systems if ISS-Lyapunov functions for subsystems are given and a small-gain condition holds. If, in addition, these given ISS-Lyapunov functions are exponential then the second theorem provides a construction of an exponential ISS-Lyapunov function for the interconnection if the gains are power functions.
Keywords :
Lyapunov methods; interconnected systems; stability; exponential ISS-Lyapunov function; input-to-state stability; interconnected impulsive systems; power functions; small-gain condition; small-gain theorems; Conferences; Educational institutions; Equations; Estimation; Interconnected systems; Lyapunov methods; Trajectory; dwell-time conditions; impulsive systems; input-to-state stability;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6426871
