IEEE Transactions on Automatic Control, Vol.59, No.9, 2491-2495, 2014
Controllability of Discrete Time Bilinear Systems in Finite and Infinite Dimensional Spaces
In the first instance, we prove that in a Banach state space of infinite dimensional; discrete bilinear systems are uncontrollable and we examine the control of the projections of the state on finite-dimensional subspaces. Then we generalize finite-dimensional results on near-controllability established by Tie and Cai in [21] and [22]. Finally, we provide illustrative examples.