Nonlinear observers in reflexive Banach spaces

Nonlinear observers in reflexive Banach spaces

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...

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Veröffentlicht in:ESAIM. Control, optimisation and calculus of variations optimisation and calculus of variations, 2003-01, Vol.9, p.67-103
Hauptverfasser: Couchouron, Jean-François, Ligarius, P.
Format: Artikel
Sprache:eng
Schlagworte:
47H020
47H06
93B07
93C20
93C25
Banach spaces
cauchy problem
Infinite dimensional systems
mild solution
nonlinear systems
observers
regularly persistent inputs
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Beschreibung
Zusammenfassung: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).
ISSN:1292-8119
1262-3377
DOI:10.1051/cocv:2003001