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

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DOI: https://doi.org/10.28924/2291-8639-21-2023-35
Published: Apr 10, 2023
Cite as:
Norelhouda Beghersa, Fares Yazid, On the Stability and Controllability of Degenerate Differential Systems in Hilbert Spaces, Int. J. Anal. Appl., 21 (2023), 35.

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Norelhouda Beghersa, Fares Yazid

Abstract

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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References

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