In this work, we investigate the global existence and boundary adaptive stabilization of an undamped Timoshenko beam equation subject to two control inputs at the right end. High gain adaptive regulators are designed based on the velocity feedbacks measured at the right end. We prove an exponential stability result for the system using the multiplier method.
|Number of pages||10|
|Journal||Mathematical Methods in the Applied Sciences|
|State||Published - 30 Jan 2022|
Bibliographical noteFunding Information:
The authors would like to express their gratitude to King Fahd University of Petroleum and Minerals (KFUPM) for its continuous support. This work is funded by KFUPM. This work does not have any conflicts of interest.
© 2021 John Wiley & Sons, Ltd.
- Timoshenko system
- adaptive stabilization
- boundary control
- closed-loop system
- exponential stability
ASJC Scopus subject areas
- Mathematics (all)
- Engineering (all)