Title: Positive orthant scalar controllability of bilinear systems
Authors: Yu. L. Sachkov
Journal title: Mathematical Notes
Yu. L. Sachkov, Positive orthant scalar controllability of bilinear systems, Mathematical Notes, 1995, 58:3, 966–969.
For the bilinear control system where is an essentially nonnegative matrix, and is a diagonal matrix, the following controllability problem is investigated: can any two points with positive coordinates be joined by a trajectory of the system? For , the answer is negative in the generic case: hypersurfaces in are constructed that are intersected by all the trajectories of the system in one direction.
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