Nonlinear observers in reflexive Banach spaces

Jean-François Couchouron; P. Ligarius

ESAIM: Control, Optimisation and Calculus of Variations (2010)

  • Volume: 9, page 67-103
  • ISSN: 1292-8119

Abstract

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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).

How to cite

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Couchouron, Jean-François, and Ligarius, P.. "Nonlinear observers in reflexive Banach spaces." ESAIM: Control, Optimisation and Calculus of Variations 9 (2010): 67-103. <http://eudml.org/doc/90715>.

@article{Couchouron2010,
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). },
author = {Couchouron, Jean-François, Ligarius, P.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Infinite dimensional systems; nonlinear systems; observers; regularly persistent inputs; cauchy problem; mild solution.; infinite-dimensional systems; regularly persistent inputs; Cauchy problem; mild solution},
language = {eng},
month = {3},
pages = {67-103},
publisher = {EDP Sciences},
title = {Nonlinear observers in reflexive Banach spaces},
url = {http://eudml.org/doc/90715},
volume = {9},
year = {2010},
}

TY - JOUR
AU - Couchouron, Jean-François
AU - Ligarius, P.
TI - Nonlinear observers in reflexive Banach spaces
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 9
SP - 67
EP - 103
AB - 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).
LA - eng
KW - Infinite dimensional systems; nonlinear systems; observers; regularly persistent inputs; cauchy problem; mild solution.; infinite-dimensional systems; regularly persistent inputs; Cauchy problem; mild solution
UR - http://eudml.org/doc/90715
ER -

References

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