Abstract
In this paper, the simultaneous static output feedback stabilization problem for a collection of discrete‐time interval systems is considered. A sufficient condition for the existence of static output feedback simultaneously stabilizing controllers is obtained. It is shown that this problem is solvable if a matrix's spectral norm assignment problem is solvable. We proved that the admissible solution set of the matrix's spectral norm assignment problem is convex. Then, the matrix's spectral norm assignment problem is shown to be equivalent to a linear matrix inequality (LMI) feasibility problem. Finally, an example is provided to illustrate the proposed methodology.
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