کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
752718 895458 2009 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global smooth solutions and stabilization of nonlinear elastodynamic systems with locally distributed dissipation
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Global smooth solutions and stabilization of nonlinear elastodynamic systems with locally distributed dissipation
چکیده انگلیسی

We consider the existence of global solutions of the nonlinear elastodynamic system with a locally distributed damping in a bounded domain. We assume that the energy function satisfies the strong ellipticity condition at the zero equilibrium. The local dissipation is in the form a(x)u̇ where the nonnegative function a(x)a(x) is only positive on a small portion of the domain. We show the existence of global smooth solutions when initial data are small. In particular, we obtain the exponential decay of the energy, which implies the exponential stabilization of the system by internal feedback.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Systems & Control Letters - Volume 58, Issue 7, July 2009, Pages 491–498
نویسندگان
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