کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4617351 | 1339377 | 2012 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Exponential stabilization of variable coefficient wave equations in a generic tree with small time-delays in the nodal feedbacks
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we study the stability of a general tree network of variable coefficient wave equations with a small delay term in the nodal feedbacks. Using the Lax–Milgram theorem and C0C0-semigroup theory, we obtain the well-posedness of the system. By a detailed spectral analysis, we show that the spectrum of the system operator distributes in a strip parallel to the imaginary axis under certain conditions. Furthermore, we prove that there is a sequence of (generalized) eigenfunctions that forms a Riesz basis with parenthesis for the energy state space. As a consequence, we obtain the exponential stabilization of the closed-loop system under certain conditions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 395, Issue 2, 15 November 2012, Pages 727–746
Journal: Journal of Mathematical Analysis and Applications - Volume 395, Issue 2, 15 November 2012, Pages 727–746
نویسندگان
Yanni Guo, Yunlan Chen, Genqi Xu, Yaxuan Zhang,