Genericity of observability of control-affine systems

M. Balde; P. Jouan

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

  • Volume: 3, page 345-359
  • ISSN: 1292-8119

Abstract

top
For smooth or real-analytic single-input, control-affine, non-linear systems, with at least two ouputs, observability for any input of a given class is generic. This class can be either the class of inputs bounded with their derivatives up to a certain order, or the class of polynomial inputs with bounded degree.

How to cite

top

Balde, M., and Jouan, P.. "Genericity of observability of control-affine systems ." ESAIM: Control, Optimisation and Calculus of Variations 3 (2010): 345-359. <http://eudml.org/doc/197337>.

@article{Balde2010,
abstract = { For smooth or real-analytic single-input, control-affine, non-linear systems, with at least two ouputs, observability for any input of a given class is generic. This class can be either the class of inputs bounded with their derivatives up to a certain order, or the class of polynomial inputs with bounded degree. },
author = {Balde, M., Jouan, P.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Control-affine nonlinear systems; observability; genericity; transversality. ; smooth control systems; differential observability; affine systems; transversality},
language = {eng},
month = {3},
pages = {345-359},
publisher = {EDP Sciences},
title = {Genericity of observability of control-affine systems },
url = {http://eudml.org/doc/197337},
volume = {3},
year = {2010},
}

TY - JOUR
AU - Balde, M.
AU - Jouan, P.
TI - Genericity of observability of control-affine systems
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2010/3//
PB - EDP Sciences
VL - 3
SP - 345
EP - 359
AB - For smooth or real-analytic single-input, control-affine, non-linear systems, with at least two ouputs, observability for any input of a given class is generic. This class can be either the class of inputs bounded with their derivatives up to a certain order, or the class of polynomial inputs with bounded degree.
LA - eng
KW - Control-affine nonlinear systems; observability; genericity; transversality. ; smooth control systems; differential observability; affine systems; transversality
UR - http://eudml.org/doc/197337
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.