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.

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