Nonlinear observability and an invariance principle for switched systems

24 January 2004

proceedings article
Published by Institute of Electrical and Electronics Engineers (IEEE)

Vol. 4, 4300-4305
https://doi.org/10.1109/cdc.2002.1185047

Abstract

This paper proposes several deflnitions of observability for nonlinear systems and explores relationships between them. These observability properties involve the existence of a bound on the norm of the state in terms of the norm of the output on a small time interval. As an application, we prove a LaSalle-like stability theorem for switched non- linear systems.

Keywords

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