1. ℎ-Stability of set differential equations
- Author
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Sihem Boukthir, Boulbaba Ghanmi, Imed Basdouri, Dalil Ichalal, and Jean Lerbet
- Subjects
ℎ-stability ,lyapunov theory ,set-valued differential ,generalized hukuhara derivative ,perturbed system ,cascaded systems ,Information technology ,T58.5-58.64 ,Mathematics ,QA1-939 - Abstract
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
- Published
- 2024
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