کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4610086 1338544 2015 47 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fredholm transform and local rapid stabilization for a Kuramoto–Sivashinsky equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Fredholm transform and local rapid stabilization for a Kuramoto–Sivashinsky equation
چکیده انگلیسی

This paper is devoted to the study of the local rapid exponential stabilization problem for a controlled Kuramoto–Sivashinsky equation on a bounded interval. We build a feedback control law to force the solution of the closed-loop system to decay exponentially to zero with arbitrarily prescribed decay rates, provided that the initial datum is small enough. Our approach uses a method we introduced for the rapid stabilization of a Korteweg–de Vries equation. It relies on the construction of a suitable integral transform and can be applied to many other equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 259, Issue 8, 15 October 2015, Pages 3683–3729
نویسندگان
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