کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8899536 1631546 2018 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Moment approach to the boundary exact controllability of an active constrained layer beam
ترجمه فارسی عنوان
رویکرد لحظه ای به کنترل دقیق مرزی یک پرتو لایه محدود فعال
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
Using the moment approach, we consider the boundary exact controllability of an active constrained layer (ACL) beam consisting of three layers, which is modeled as a Rayleigh beam coupled with two wave equations. We convert the controllability problem of the ACL beam into a corresponding moment problem which can be solvable in a Hilbert space ℓ2. Then, we conclude that the ACL beam is exactly controllable when the control time is greater than the maximum value among of the optical lengths of the two waves and the square root of the moment of inertia of the Rayleigh beam. The well-posedness and asymptotic spectral expressions of the ACL beam are also presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 465, Issue 1, 1 September 2018, Pages 643-657
نویسندگان
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