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Article Dans Une Revue Archives of Control Sciences Année : 2023

H-stability of Set Differential Equations

Sihem Bouktir
  • Fonction : co premier-auteur
  • PersonId : 1327356
Boubalba Ghanmi
  • Fonction : Auteur
  • PersonId : 1327355
Jean Lerbet

Résumé

In this paper, we introduce the notion of h-stability for set-valued differential equations. Necessary and sufficient conditions are established by using Lyapunov theory. Then, based on the obtained results, we study the ℎ-stability of perturbed and cascaded systems. Finally, an example illustrates the proposed theorems.

Dates et versions

hal-04351711 , version 1 (18-12-2023)

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Citer

Sihem Bouktir, Boubalba Ghanmi, Imed Basdouri, Dalil Ichalal, Jean Lerbet. H-stability of Set Differential Equations. Archives of Control Sciences, 2023, 33 (4), pp.761--788. ⟨10.24425/acs.2023.148880⟩. ⟨hal-04351711⟩
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