Stability and Stabilization of Linear Fractional Order Systems with Input Delay Using Linear Matrix Inequalities

Stability and stabilization of delayed linear fractional order systems with input delay using linear matrix inequalities were considered in the present study. At first, the input delay fractional order system was changed into a free delay fractional order system using an alternate variable. Thereafter, using a state feedback, the systems were turned into a closed loop. Later on, the system stabilization was examined by applying linear matrix inequality theorems and, finally, an example was used to demonstrate the efficiency of the proposed method.