Abstract
In this paper, we are interested in stabilizing a nonlinear axially moving string by an adaptive boundary control. The existence and uniqueness of a solution of the closed loop system is dealt with in the framework of the nonlinear semigroup theory by using a theorem due to Crandall-Liggett. The control is constructed through a low-gain adaptive velocity feedback. It is shown that the formulated control is capable of stabilizing exponentially the closed loop system.
| Original language | English |
|---|---|
| Article number | e202000227 |
| Journal | ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik |
| Volume | 101 |
| Issue number | 11 |
| DOIs | |
| State | Published - Nov 2021 |
Bibliographical note
Publisher Copyright:© 2021 Wiley-VCH GmbH
Keywords
- adaptive stabilization
- exponential stability
- nonlinear moving string
- nonlinear semigroup
ASJC Scopus subject areas
- Computational Mechanics
- Applied Mathematics
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