Observability of control systems for polynomial inputs and genericity
Volume 28 / 2001
Applicationes Mathematicae 28 (2001), 281-291
MSC: 57N75, 57Q65, 93B07.
DOI: 10.4064/am28-3-4
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.
