تقرير
Asymptotic analysis of a 2D overhead crane with input delays in the boundary control
العنوان: | Asymptotic analysis of a 2D overhead crane with input delays in the boundary control |
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المؤلفون: | Al-Musallam, Fadhel, Ammari, Kaïs, Chentouf, Boumdiène |
سنة النشر: | 2017 |
المجموعة: | Mathematics |
مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 34B05, 34D05, 70J25, 93D15 |
الوصف: | The paper investigates the asymptotic behavior of a 2D overhead crane with input delays in the boundary control. A linear boundary control is proposed. The main feature of such a control lies in the facts that it solely depends on the velocity but under the presence of time-delays. We end-up with a closed-loop system where no displacement term is involved. It is shown that the problem is well-posed in the sense of semigroups theory. LaSalle's invariance principle is invoked in order to establish the asymptotic convergence for the solutions of the system to a stationary position which depends on the initial data. Using a resolvent method it is proved that the convergence is indeed polynomial. |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/1702.07228 |
رقم الأكسشن: | edsarx.1702.07228 |
قاعدة البيانات: | arXiv |
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