Forward invariant sets, homogeneity and small-time local controllability
Volume 32 / 1995
Banach Center Publications 32 (1995), 287-300
DOI: 10.4064/-32-1-287-300
Abstract
The property of forward invariance of a subset of $R^n$ with respect to a differential inclusion is characterized by using the notion of a perpendicular to a set. The obtained results are applied for investigating the dependence of the small-time local controllability of a homogeneous control system on parameters.