Abstarct: In this thesis‎, ‎we will intraduce the direct solution of the pole placement problem by statederivative feedback for single-input and multi-input linear systems. this thesis describes the solution of this pole placement problem for any controllable system with nonsingular system matrix and nonzero desired poles. Then closed-loop poles can be placed in order to achieve the desired system performance. The solving procedure results into a formula similar to Ackermann one. Its derivation is baxsed on the transformation of linear single-input and multi-input systems into Frobenius canonical form by coordinate transformation, then solving the pole placement problem by state derivative feedback and transforming the solution into original coordinates. ‎‎Then we introduce‎ state-derivative and especially output-derivative feedbacks for linear time-invariant systems are derived using control approach similar to linear quadratic regulator (LQR). The optimal feedback gain matrices are derived for the desired performance. This problem is always solvable for any controllable system if the open-loop system matrix is nonsingular. Explicit exxpression of the state- derivative gain matrix is derived. ‎ ‎Then we introduce (i) linear time-invariant plants given by the state-space model matrices {A, B,C,D} with output equal to the state-derivative vector are not observable and can not be stabilizable by using an output feedback if det(A) = 0 and (ii)the rejection of a constant disturbance added to the input of the aforementioned plants, considering det(A) ‎≠0, and a static output feedback controller is not possible. ‎At the end of each section for more understanding of concepts‎, ‎numerical examples are provided‎.