کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5002299 1368452 2016 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global stabilization of a Korteweg-de Vries equation with a distributed control saturated in L2-norm
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Global stabilization of a Korteweg-de Vries equation with a distributed control saturated in L2-norm
چکیده انگلیسی
This article deals with the design of saturated controls in the context of partial differential equations. It is focused on a Korteweg-de Vries equation, which is a nonlinear mathematical model of waves on shallow water surfaces. The aim of this article is to study the influence of a saturating in L2-norm distributed control on the well-posedness and the stability of this equation. The well-posedness is proven applying a Banach fixed point theorem. The proof of the asymptotic stability of the closed-loop system is tackled with a Lyapunov function together with a sector condition describing the saturating input. Some numerical simulations illustrate the stability of the closed-loop nonlinear partial differential equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: IFAC-PapersOnLine - Volume 49, Issue 18, 2016, Pages 122-127
نویسندگان
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