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ON THE DESIGN OF LYAPUNOV FUNCTIONS FOR STATE-DEPENDENT IMPULSIVE DYNAMICAL SYSTEMS
Journal article

ON THE DESIGN OF LYAPUNOV FUNCTIONS FOR STATE-DEPENDENT IMPULSIVE DYNAMICAL SYSTEMS

L Burlion, T Ahmed-Ali and F Lamnabhi-Lagarrigue
IFAC Proceedings Volumes, Vol.38(1), pp.379-384
2005
DOI: https://doi.org/10.3182/20050703-6-CZ-1902.00347

Abstract

Hybrid systems Lyapunov methods Nonlinear systems
In this paper, we use viability tools to design Lyapunov functions for nonlinear state-dependent impulsive dynamical systems : the main idea is to partition the continuous state space. The approach enables to address fundamental issues in Hybrid systems such as accessibility and controllability.

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