Abstarct: In this thesis a new method for controlling the time discrete systems with disturbance in input by using of adjoint matrices and similarity transformations have been presented that is more simple that existing methods computationally. And in feat a system with disturbance turns into a system without disturbance. Also in presented method, the second linear discrete controllable system may arbitrary so it is determined as the system is always controllable. Therefore by using of the similarity transformations, the time optimized controller is specified as system always be controllable.