This paper deals with the problems of robust admissibility and state feedback admissibilization of uncertain discrete descriptor systems. We propose a new sufficient condition, which is necessary in terms of a strict Linear Matrix Inequality (LMI) for a nominal discrete descriptor system to be admissible (stable, regular and impulse free). Based on this, the state feedback admissibility problem is solved and the solution is extended to the case of uncertain descriptor systems. Finally numerical examples are given to illustrate the results.
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