Nonlinear observers in reflexive Banach spaces
ESAIM: Control, Optimisation and Calculus of Variations, Tome 9 (2003), pp. 67-103.

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).

DOI : 10.1051/cocv:2003001
Classification : 47H020, 47H06, 93B07, 93C20, 93C25
Mots clés : infinite dimensional systems, nonlinear systems, observers, regularly persistent inputs, cauchy problem, mild solution 
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     author = {Couchouron, Jean-Fran\c{c}ois and Ligarius, P.},
     title = {Nonlinear observers in reflexive {Banach} spaces},
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     pages = {67--103},
     publisher = {EDP-Sciences},
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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. http://www.numdam.org/articles/10.1051/cocv:2003001/

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