| Issue |
ESAIM: COCV
Volume 9, February 2003
|
|
|---|---|---|
| Page(s) | 67 - 103 | |
| DOI | https://doi.org/10.1051/cocv:2003001 | |
| Published online | 15 September 2003 | |
Nonlinear observers in reflexive Banach spaces
1
Université
de Metz, INRIA Lorraine, Departement de Mathématiques, bâtiment A, Ile du Saulcy,
57045 Metz Cedex 01, France; couchour@loria.fr.
2
INSA of Rouen, Departement of Mathématiques, BP. 8,
76131 Mont-Saint-Aignan Cedex, France; ligarius@insa-rouen.fr.
Received:
3
December
2001
Revised:
10
January
2002
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).
Mathematics Subject Classification: 47H020 / 47H06 / 93B07 / 93C20 / 93C25
Key words: Infinite dimensional systems / nonlinear systems / observers / regularly persistent inputs / cauchy problem / mild solution.
© EDP Sciences, SMAI, 2003
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