Journal
AUTOMATICA
Volume 44, Issue 12, Pages 3152-3156Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2008.05.015
Keywords
Finite-time stable; High gain observers; Homogeneous systems; Nonlinear system; Observability
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It is well known that high gain observers exist for single output nonlinear systems that are uniformly observable and globally Lipschitzian. Under the same conditions, we show that these systems admit semi-global and finite-time converging observers. This is achieved with a derivation of a new sufficient condition for local finite-time stability, in conjunction with applications of geometric homogeneity and Lyapunov theories. (C) 2008 Elsevier Ltd. All rights reserved.
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