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On the Stability and Controllability of Degenerate Differential Systems in Hilbert Spaces

Article scientifique 2023 Anglais

Résumé

We apply the famous theorem of Lyapunov for some degenerate differential systems taken the form Ax’(t) + Bx(t) = Φ(t, x(t)), where t∈R+ and A, B are linear bounded operators in Hilbert spaces, Φ is a given function. The obtained results are used to study the stabilizability and controllability of certain implicit controlled systems.

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Beghersa, N., Yazid, F. (2023). On the Stability and Controllability of Degenerate Differential Systems in Hilbert Spaces. https://doi.org/10.28924/2291-8639-21-2023-35

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