ℎ-Stability of set differential equations

• Autorzy: Boukthir Sihem , Ghanmi Boulbaba , Basdouri Imed , Ichalal Dalil , Lerbet Jean

Identyfikatory

DOI

10.24425/acs.2023.148880

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

ℎ-stability; Lyapunov theory; set-valued differential; generalized Hukuhara derivative; perturbed system; cascaded systems

• Wydawca: Polish Academy of Sciences, Committee of Automatic Control and Robotics
• Czasopismo: Archives of Control Sciences
• Rocznik: 2023
• Tom: Vol. 33, No. 4
• Strony: 761--788
• Opis fizyczny: Bibliogr. 37 poz., wzory

Twórcy

autor

Boukthir Sihem

• Department of Mathematics, Faculty of Sciences of Sfax, Route Soukra Km 4, BP 802, 3018, Sfax, Tunisia
• The IBISC laboratory, University of Evry Val d’Essonne, University of Paris Saclay University, 40, rue de Pelvoux, 91020, Evry Courcouronnes, France

• https://orcid.org/0000-0003-2208-4332

autor

Ghanmi Boulbaba

• Department of Mathematics, Faculty of Sciences of Gafsa, Sidi Ahmed Zarroug, 2112, Gafsa, Tunisia

• https://orcid.org/0000-0002-0890-7884

autor

Basdouri Imed

• Department of Mathematics, Faculty of Sciences of Gafsa, Sidi Ahmed Zarroug, 2112, Gafsa, Tunisia

• https://orcid.org/0000-0002-5029-1956

autor

Ichalal Dalil

• The IBISC laboratory, University of Evry Vald’Essonne, University of Paris Saclay University, 40, rue de Pelvoux, 91020, Evry Courcouronnes, France

• https://orcid.org/0000-0003-0465-6966

autor

Lerbet Jean

• The LaMME laboratory, UMR CNRS 8071, University of Evry Val d’Essonne, University of Paris Saclay, 23 Bd de France, 91037, Evry CEDEX, France

• https://orcid.org/0000-0002-8889-1324

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