Polynomial stability of a Rayleigh system with distributed delay
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DOI:
https://doi.org/10.26637/mjm1204/004Abstract
We consider the Rayleigh beam equation with a dynamic control moment with a distributed
delay term in the dynamic control. We establish the strong stability of this system and then
prove that the system with delay has the same rational decay rate as the system without delay.
But we show that it is not exponentially stable. Our contribution is the introduction of the
distributed delay term in the control.
Keywords:
Rayleigh beam equation, Dynamic boundary control, Distributed delay, Spectral analysisMathematics Subject Classification:
34D20, 35B40, 35L70- Pages: 388-411
- Date Published: 01-10-2024
- Vol. 12 No. 04 (2024): Malaya Journal of Matematik (MJM)
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Copyright (c) 2024 Innocent OUEDRAOGO, Désiré SABA, Cheikh SECK, Gilbert BAYILI
This work is licensed under a Creative Commons Attribution 4.0 International License.
