Nonpathological Lyapunov functions and discontinuous Carathéodory systems

Abstract

Differential equations with discontinuous righthand side and solutions intended in Carathéodory sense are considered. For these equations sufficient conditions which guarantee both Lyapunov stability and asymptotic stability in terms of nonsmooth Lyapunov functions are given. An invariance principle is also proven.

DOI: 10.1016/j.automatica.2005.10.014

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Cite this paper

@article{Bacciotti2006NonpathologicalLF, title={Nonpathological Lyapunov functions and discontinuous Carath{\'e}odory systems}, author={Andrea Bacciotti and Francesca Ceragioli}, journal={Automatica}, year={2006}, volume={42}, pages={453-458} }