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

Dansou Corine Ornella; Bomisso Gossrin Jean-Marc; Coulibaly Adama; Toure Kidjegbo Augustin

doi:https://doi.org/10.56827/JRSMMS.2025.1202.3

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

Volume 12, Issue 2 Pages 41-58 June 30, 2025 63 downloads

Article overview

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 craneNonlinear feedbackSemilinear evolution equationsAsymptotic stability.

AMS Subject Classification

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

Reference information

How to Cite

Dansou Corine Ornella, Bomisso Gossrin Jean-Marc, Coulibaly Adama, Toure Kidjegbo Augustin (2025). ASYMPTOTIC STABILITY OF AN OVERHEAD CRANE WITH NONLINEAR CONTROL AND VISCOUS DAMPING. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 12(2), 41-58.

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