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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.
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 -