Abstract
Our interest in this paper is to analyse the asymptotic behaviour of a Timoshenko beam system together with two boundary controls, with delay terms in the first and second equation. Assuming the weights of the delay are small enough, we show that the system is well-posed using the semigroup theory. Furthermore, we introduce a Lyapunov functional that gives the exponential decay of the total energy. © 2012 The author.
Original language | English (US) |
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Pages (from-to) | 383-398 |
Number of pages | 16 |
Journal | IMA Journal of Mathematical Control and Information |
Volume | 29 |
Issue number | 3 |
DOIs | |
State | Published - Jan 6 2012 |
Bibliographical note
KAUST Repository Item: Exported on 2020-10-01ASJC Scopus subject areas
- Control and Optimization
- Applied Mathematics
- Control and Systems Engineering