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Exponential stabilization of a microbeam system with a boundary or distributed time delay.
- Source :
- Mathematical Methods in the Applied Sciences; 9/30/2021, Vol. 44 Issue 14, p11613-11630, 18p
- Publication Year :
- 2021
-
Abstract
- This paper addresses the stabilization problem of a microscale beam system subject to a delay. Several situations are considered depending whether the delay occurs as a boundary or interior/distributed term. In both cases, the microbeam system is shown to be well posed in the sense of semigroups theory of linear operators. More importantly, using the energy method, the exponential stability is established as long as the parameter of the delay term is small. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 44
- Issue :
- 14
- Database :
- Complementary Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 151881236
- Full Text :
- https://doi.org/10.1002/mma.7518