- - - Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran.
- - - Faculty of Mathematical Sciences, Shahrood University of Technology, Shahrood, Iran.

In this paper, stabilization of unstable fractional descriptor discrete-time linear system via forward and propositional output feedback is done to obtain satisfactory responses. To gain forward and propositional output feedback matrices, two standard linear systems need to exist. Assigning nonzero arbitrary eigenvalues to the first standard system and inverted the desired eigenvalues for standard descriptor system to the second one, desired eigenvalues are assigned by matrix inverse eigenvalue problem. Numerical examples are also presented to illustrate our method.

Fractional descriptor, Matrix inverse eigenvalue problem, Discrete-time, Output feedback, Moore-Penrose inverse