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Spectrum and Stability of a 1-d Heat-Wave Coupled System with Dynamical Boundary Control
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-06-04
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, the negative proportional dynamic feedback is designed in the right boundary of the wave component of the 1-d heat-wave system coupled at the interface and the long-time behavior of the system is discussed.
The system is formulated into an abstract Cauchy problem on the energy space.
The energy of the system does not increase because the semigroup generated by the system operator is contracted.
In the meanwhile, the asymptotic stability of the system is derived in light of the spectral configuration of the system operator.
Furthermore, the spectral expansions of the system operator are precisely investigated and the asymptotical stability is not exponential and is shown in view of the spectral expansions.
American Psychological Association (APA)
Jin, Xue-Lian& Li, Yan& Zheng, Fu. 2019. Spectrum and Stability of a 1-d Heat-Wave Coupled System with Dynamical Boundary Control. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1196171
Modern Language Association (MLA)
Jin, Xue-Lian…[et al.]. Spectrum and Stability of a 1-d Heat-Wave Coupled System with Dynamical Boundary Control. Mathematical Problems in Engineering No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1196171
American Medical Association (AMA)
Jin, Xue-Lian& Li, Yan& Zheng, Fu. Spectrum and Stability of a 1-d Heat-Wave Coupled System with Dynamical Boundary Control. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1196171
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196171