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- Title
Exact controllability of the transmission string–beam equations with a single boundary control.
- Authors
Su, Zhao‐Zhong; Guo, Ya‐Ping
- Abstract
We consider the exact controllability of a transmission system which models a flexible beam with one end clamped and the other end linked to a string. The control only acts on the free end of the string. Using the multiplier method, we prove that the full energy of transmission system can be estimated by the boundary data of string. Finally, by using the HUM method, we deduce that the transmission system is exactly controllable at the time of control T>2$$ T>2 $$.
- Subjects
CONTROLLABILITY in systems engineering; EQUATIONS
- Publication
Mathematical Methods in the Applied Sciences, 2023, Vol 46, Issue 14, p15352
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.9382