Further results on the asymptotic behavior of a 2D overhead crane with\n input delays: Exponential convergence

2018/04/18 by Kaïs Ammari, Boumediène Chentouf, Ammari, Kaïs +1
Computer Science · Engineering · Mathematics · #34B05 #34D05 #70J25 #93D15 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Dynamics and Control of Mechanical Systems #FOS: Mathematics #Numerical methods for differential equations #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1804.06765

openalex publication_date 2018/04/18 · openalex created_date 2022/08/29 · openalex updated_date 2026/07/28

Abstract

This article is concerned with the asymptotic behavior of a 2D overhead\ncrane. Taking into account the presence of a delay in the boundary, and\nassuming that no displacement term appears in the system, a distributed\n(interior) damping feedback law is proposed in order to compensate the effect\nof the delay. Then, invoking the frequency domain method, the solutions of the\nclosed-loop system are proved to converge exponentially to a stationary\nposition. This improves the recent result obtained by\nAl-Musallam-Ammari-Chentouf, where the rate of convergence is at most of\npolynomial type.\n

Citations

• Asymptotic stability in viscoelasticity

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