On the null-controllability of linear discrete-time systems with restrained controls

This paper is devoted to the null-controllability problem for linear, autonomous, discrete-time systems with restrained controls, i.e., systems described by the equationx_k+1=Ax_k+u_k,u_k , where 0 , but is not necessarily an interior point of . Some criteria for local and global null controllability are given with proofs. These results can be considered as extensions to discrete-time systems of the known corresponding criteria for linear, continuous-time systems.