ASYMPTOTIC STABILITY OF AN OVERHEAD CRANE WITH NONLINEAR CONTROL AND VISCOUS DAMPING

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads : 1

Volume : 12 , Issue : 2
DOI: https://doi.org/10.56827/JRSMMS.2025.1202.3
Author :
Dansou Corine Ornella (UFR Mathematiques et Informatique, Universite Felix Houphouet Boigny de Cocody, COTE DIVOIRE )
Bomisso Gossrin Jean-Marc (UFR Sciences Fondamentales et Appliquees, Universite Nangui Abrogoua, COTE DIVOIRE )
Coulibaly Adama (UFR Mathematiques et Informatique, Universite Felix Houphouet Boigny de Cocody, COTE DIVOIRE )
Toure Kidjegbo Augustin (UMRI Mathematiques et Sciences du Numerique, Institut National Polytechnique Houphouet Boigny, COTE DIVOIRE)

Abstract

Overhead cranes play a crucial role in various industrial applications, including construction, heavy component transport, and machinery handling. In this paper, we study the asymptotic stability of an overhead crane model governed by a semilinear evolution equation. The model incorporates a nonlinear feedback control and a viscous damping term, both of which significantly impact the stability properties. Our analysis focuses on the mathematical formulation, well-posedness, and stability behavior of the system.

Keywords and Phrases

Overhead crane, Nonlinear feedback, Semilinear evolution equations, Asymptotic stability.

A.M.S. subject classification

35B35, 35B45, 35L20, 47D06, 93C20, 74S05.

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