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Nonlinear observers in reflexive Banach spaces

Published online by Cambridge University Press:  15 September 2003

Jean-François Couchouron  and
P. Ligarius
Jean-François Couchouron
Affiliation:
Université de Metz, INRIA Lorraine, Departement de Mathématiques, bâtiment A, Ile du Saulcy, 57045 Metz Cedex 01, France; [email protected].
P. Ligarius
Affiliation:
INSA of Rouen, Departement of Mathématiques, BP. 8, 76131 Mont-Saint-Aignan Cedex, France; [email protected].
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Abstract

On an arbitrary reflexive Banach space, we build asymptotic observers for an abstract class of nonlinear control systems with possible compact outputs. An important part of this paper is devoted to various examples, where we discuss the existence of persistent inputs which make the system observable. These results make a wide generalization to a nonlinear framework of previous works on the observation problem in infinite dimension (see [11,18,22,26,27,38,40] and other references therein).

Keywords

Infinite dimensional systemsnonlinear systemsobserversregularly persistent inputscauchy problemmild solution.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 9 , January 2003 , pp. 67 - 103
Copyright
© EDP Sciences, SMAI, 2003

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