عنوان المقالة: Averaged null controllability for some hyperbolic equations depending on a parameter
عبدالحق حفظ الله | Abdelhak Hafdallah | 5849
- نوع النشر
- مقال علمي
- المؤلفون بالعربي
- المؤلفون بالإنجليزي
- Mouna Abdelli; Abdelhak Hafdallah
- الملخص الانجليزي
- The aim of this paper is to prove the averaged null controllability property for a wave equation with an unknown velocity of propagation parameter and for parameter-dependent vibrating plate equation under the effect of a boundary control. The choice of the Hilbert uniqueness method seems to be the best-adapted method to our theory, where the key point to prove the desired result is an averaged inverse inequality (averaged observability inequality). Consequently, we'll prove the desired property for a large time enough and we'll design a single control chosen independently of the parameter value transferring the average of the state to the origin.
- تاريخ النشر
- 16/10/2020
- رقم المجلد
- رقم العدد
- رابط DOI
- 10.1016/j.jmaa.2020.124697
- الكلمات المفتاحية
- Averaged controllability HUM PDE depending on a parameter Averaged inverse inequality