Abstract: The generic stability of differential inclusions of linear polytopes is studied. Through set-valued analysis, we prove that the differential inclusions of the linear polytopes have generic stability with respect to perturb parts of the right and initial pair of linear polytopes; that is, most of differential inclusions of linear polytopes have essential solution in the  Baire category.

Key words: linear polytopes, differential inclusions, set-valued mapping, generic stability, essential solution