Stabilization of an Overhead Crane System With Infinite Memory in the Boundary Control

Boumediene Chentouf, Sabeur Mansouri

Research output: Contribution to journalArticlepeer-review


This paper is concerned with the boundary stabilization problem of an overhead crane with infinite memory. We show, under some assumptions of the memory kernel, that the problem is well-posed in the sense of semigroups theory. Furthermore, the uniform exponential stability of the solutions to the system is established by means of the frequency-domain method.

Original languageEnglish
Pages (from-to)1-6
Number of pages6
JournalIEEE Transactions on Automatic Control
Publication statusAccepted/In press - 2022
Externally publishedYes


  • Boundary control
  • Closed loop systems
  • Control theory
  • Cranes
  • exponential stability
  • Hilbert space
  • infinite memory
  • Kernel
  • Mathematical models
  • minimal state
  • overhead crane
  • Stability

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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