A new approach to the stabilization of the wave equation with boundary damping control
Other Title(s)
إقرار معادلة موجة بنظام تحكم حدي مخمد
Joint Authors
Boudellioua, Muhammad al-Salih
Chentouf, Bu Madyan
Source
Sultan Qaboos University Journal for Science
Issue
Vol. 2004, Issue 9 (31 Dec. 2004), pp.33-40, 8 p.
Publisher
Sultan Qaboos University College of Science
Publication Date
2004-12-31
Country of Publication
Oman
No. of Pages
8
Main Subjects
Abstract AR
يهتم هذا البحث بدراسة مسألة إقرار نظام مكون من معادلة موجة في مجال محدود مع شروط حدية من نوع نومان.
حتى تتم عملية الإقرار نقترح نظام تحكم مخمد و نبرهن أن هذا النوع من التحكم بإمكانه أن يجعل حلول معادلة الموجة تتقارب نحو موضع استقرار.
و بالإضافة إلى ذلك، نبرهن أن موضع الاستقرار يتعلق بالشروط الأساسية فقط.
Abstract EN
: This paper deals with boundary feedback stabilization of a system, which consists of a wave equation in a bounded domain of R" , 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 (Chertoff and Boudellioua, 2004).
American Psychological Association (APA)
Chentouf, Bu Madyan& Boudellioua, Muhammad al-Salih. 2004. A new approach to the stabilization of the wave equation with boundary damping control. Sultan Qaboos University Journal for Science،Vol. 2004, no. 9, pp.33-40.
https://search.emarefa.net/detail/BIM-27209
Modern Language Association (MLA)
Chentouf, Bu Madyan& Boudellioua, Muhammad al-Salih. A new approach to the stabilization of the wave equation with boundary damping control. Sultan Qaboos University Journal for Science No. 9 (Dec. 2004), pp.33-40.
https://search.emarefa.net/detail/BIM-27209
American Medical Association (AMA)
Chentouf, Bu Madyan& Boudellioua, Muhammad al-Salih. A new approach to the stabilization of the wave equation with boundary damping control. Sultan Qaboos University Journal for Science. 2004. Vol. 2004, no. 9, pp.33-40.
https://search.emarefa.net/detail/BIM-27209
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 40
Record ID
BIM-27209
