On the analysis of positivity and stabilization of fractional multidimensional discrete linear systems

The effectiveness of this paper lies in the analysis of the positivity and stabilization conditions of multidimensional fractional discrete linear systems. Moreover, we focused on stabilizing the considered class of models by using a new approach based on linear matrix inequalities. We derive and establish new stability conditions for the multidimensional discrete linear time systems using the gain matrix and a feedback matrix which guarantees the stabilization of the system state trajectory. We also provide some numerical examples to demonstrate the effectiveness of our proposed method.