Observability of control systems for polynomial inputs and genericity

Philippe Jouan

Applicationes Mathematicae (2001)

  • Volume: 28, Issue: 3, page 281-291
  • ISSN: 1233-7234

Abstract

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We consider smooth single-input, two-output systems on a compact manifold X. We show that the set of systems that are observable for any polynomial input whose degree is less than or equal to a given bound contains an open and dense subset of the set of smooth systems.

How to cite

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Philippe Jouan. "Observability of control systems for polynomial inputs and genericity." Applicationes Mathematicae 28.3 (2001): 281-291. <http://eudml.org/doc/279021>.

@article{PhilippeJouan2001,
abstract = {We consider smooth single-input, two-output systems on a compact manifold X. We show that the set of systems that are observable for any polynomial input whose degree is less than or equal to a given bound contains an open and dense subset of the set of smooth systems.},
author = {Philippe Jouan},
journal = {Applicationes Mathematicae},
keywords = {observability; genericity; transversality; polynomial input},
language = {eng},
number = {3},
pages = {281-291},
title = {Observability of control systems for polynomial inputs and genericity},
url = {http://eudml.org/doc/279021},
volume = {28},
year = {2001},
}

TY - JOUR
AU - Philippe Jouan
TI - Observability of control systems for polynomial inputs and genericity
JO - Applicationes Mathematicae
PY - 2001
VL - 28
IS - 3
SP - 281
EP - 291
AB - We consider smooth single-input, two-output systems on a compact manifold X. We show that the set of systems that are observable for any polynomial input whose degree is less than or equal to a given bound contains an open and dense subset of the set of smooth systems.
LA - eng
KW - observability; genericity; transversality; polynomial input
UR - http://eudml.org/doc/279021
ER -

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