On controllability of discrete-time multi-input inhomogeneous bilinear systems without drift

In this paper, we consider the controllability problem of discrete-time multi-input inhomogeneous bilinear systems without drift. We first make some discussions on controllability of the systems. We then focus on a special class of the systems, which can be regarded as the most close to multiinput linear time-invariant systems, and obtain a necessary and sufficient condition for controllability. Finally, we provide an example to demonstrate the results of this paper.