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Constructions of ISS-Lyapunov functions for interconnected impulsive systems | IEEE Conference Publication | IEEE Xplore

Constructions of ISS-Lyapunov functions for interconnected impulsive systems


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 impu...Show More

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.
Date of Conference: 10-13 December 2012
Date Added to IEEE Xplore: 04 February 2013
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Conference Location: Maui, HI, USA

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