Abstarct: In this thesis‎, ‎to consider high-ordercontrol of linear systems‎. ‎To find state feedback matrix so that the system is stable‎. ‎The extension of the control systems are also sought‎. ‎The first to introduce systems of linear high-order and high-order descxriptor linear systems described‎, ‎then the examine controllabity conditions‎, ‎and using similarity transitions to calculate the state feedback matrix‎. ‎Since making norm of state feedback matrix minimom is very important in optimization of linear control systems‎, ‎therefore a new method using eigenvalue assignment problem in high-order linear systems and high-order descxriptor linear systems‎, ‎we obtain state feedback matrix which has the minimom norm‎.