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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).
@article{COCV_2003__9__67_0,
author = {Couchouron, Jean-Fran\c{c}ois and Ligarius, P.},
title = {Nonlinear observers in reflexive {Banach} spaces},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {67--103},
publisher = {EDP-Sciences},
volume = {9},
year = {2003},
doi = {10.1051/cocv:2003001},
mrnumber = {1957091},
zbl = {1069.47511},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2003001/}
}
TY - JOUR AU - Couchouron, Jean-François AU - Ligarius, P. TI - Nonlinear observers in reflexive Banach spaces JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2003 SP - 67 EP - 103 VL - 9 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/cocv:2003001/ DO - 10.1051/cocv:2003001 LA - en ID - COCV_2003__9__67_0 ER -
%0 Journal Article %A Couchouron, Jean-François %A Ligarius, P. %T Nonlinear observers in reflexive Banach spaces %J ESAIM: Control, Optimisation and Calculus of Variations %D 2003 %P 67-103 %V 9 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/cocv:2003001/ %R 10.1051/cocv:2003001 %G en %F COCV_2003__9__67_0
Couchouron, Jean-François; Ligarius, P. Nonlinear observers in reflexive Banach spaces. ESAIM: Control, Optimisation and Calculus of Variations, Tome 9 (2003), pp. 67-103. doi: 10.1051/cocv:2003001
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