Abstract
In this paper, we consider a viscoelastic Euler-Bernoulli beam fixed to a base in a translational motion at one end and to a tip mass at its free end. Under a suitable control force applied at the base, we prove an arbitrary decay of the energy of the system. This is established for a large class of relaxation functions.
| Original language | English |
|---|---|
| Pages (from-to) | 167-199 |
| Number of pages | 33 |
| Journal | Journal of Dynamical and Control Systems |
| Volume | 24 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Jan 2018 |
Bibliographical note
Publisher Copyright:© 2017, Springer Science+Business Media New York.
Keywords
- Arbitrary decay
- Memory term
- Relaxation function
- Translational Euler-Bernoulli beam
- Viscoelasticity
ASJC Scopus subject areas
- Control and Systems Engineering
- Algebra and Number Theory
- Numerical Analysis
- Control and Optimization