Abstract
This paper deals with boundary feedback stabilization of a system, which consists of a wave equation in a bounded domain of , with Neumann boundary conditions. To stabilize the system, we propose a boundary feedback law involving only a damping term. Then using a new energy function, we show that the solutions of the system asymptotically converge to a stationary position, which depends on the initial data. Similar results were announced without proof in (Chentouf and Boudellioua, 2004).
Keywords
Publication details
- DOI
- 10.24200/squjs.vol9iss0pp33-40
- Journal
- Sultan Qaboos University Journal for Science, 9, 33
- Publisher
- Sultan Qaboos University
- Open access
- Gold open access
- License
- CC BY 4.0
Cite this article
APA 7
Chentouf, B., & Boudellioua, M. S. (2004). A New Approach to the Stabilization of the Wave Equation with Boundary Damping Control. Sultan Qaboos University Journal for Science, 9, 33. https://doi.org/10.24200/squjs.vol9iss0pp33-40
MLA 9
Chentouf, Boumediène, and Mohamed Salah Boudellioua. "A New Approach to the Stabilization of the Wave Equation with Boundary Damping Control." Sultan Qaboos University Journal for Science, vol. 9, 2004, pp. 33. https://doi.org/10.24200/squjs.vol9iss0pp33-40.
Chicago (author–date)
Chentouf, Boumediène, and Mohamed Salah Boudellioua. 2004. "A New Approach to the Stabilization of the Wave Equation with Boundary Damping Control." Sultan Qaboos University Journal for Science 9: 33. https://doi.org/10.24200/squjs.vol9iss0pp33-40.
Harvard
Chentouf, B. and Boudellioua, M. S. (2004) 'A New Approach to the Stabilization of the Wave Equation with Boundary Damping Control', Sultan Qaboos University Journal for Science, 9, pp. 33. doi:10.24200/squjs.vol9iss0pp33-40.
Vancouver
Chentouf B, Boudellioua MS. A New Approach to the Stabilization of the Wave Equation with Boundary Damping Control. Sultan Qaboos University Journal for Science. 2004;9:33. doi:10.24200/squjs.vol9iss0pp33-40
IEEE
B. Chentouf, and M. S. Boudellioua, "A New Approach to the Stabilization of the Wave Equation with Boundary Damping Control," Sultan Qaboos University Journal for Science, vol. 9, pp. 33, 2004, doi: 10.24200/squjs.vol9iss0pp33-40.