Title: On Invariant Orthants of Bilinear Systems
Authors: Yu. L. Sachkov
Journal title: Journal of Dynamical and Control Systems
Year: 1998
Volume: 4
Pages: 137—147
Abstract:

A characterization of n n matrices $$A$$ such that the corresponding linear vector eld $$A\ x$$ has invariant orthants in $$R^n$$ is obtained. This result is then applied to give necessary global controllability conditions for bilinear systems.