Some Generalizations of Pachpatte Inequalities on Time Scales

Bacem Ben Nasser , Khaled Boukerrioua , Michael Defoort (1) , Mohamed Djemai (1) , Mohamed Ali Hammami

1 LAMIH - Laboratoire d'Automatique, de Mécanique et d'Informatique industrielles et Humaines - UMR 8201

This paper deals with some generalizations of certain inequalities of Pachpatte-type, on time scales, using elementary analytic methods. To show the feasibility of the obtained inequalities, an illustrative example is also introduced.

Mots clés: Gronwall’s inequality; Dynamic equations; Time scale

Domaines: Automatique / Robotique

Bacem Ben Nasser, Khaled Boukerrioua, Michael Defoort, Mohamed Djemai, Mohamed Ali Hammami. Some Generalizations of Pachpatte Inequalities on Time Scales. 20th World Congress of the International Federation of Automatic Control, Jul 2017, Toulouse, France. ⟨10.1016/j.ifacol.2017.08.2531⟩. ⟨hal-03413033⟩