Time-Delayed Feedback Control of a Hydraulic Model Governed by a Diffusive Wave System

Boumediène Chentouf*, Nejib Smaoui

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


This paper is concerned with the feedback flow control of an open-channel hydraulic system modeled by a diffusive wave equation with delay. Firstly, we put forward a feedback flow control subject to the action of a constant time delay. Thereafter, we invoke semigroup theory to substantiate that the closed-loop system has a unique solution in an energy space. Subsequently, we deal with the eigenvalue problem of the system. More importantly, exponential decay of solutions of the closed-loop system is derived provided that the feedback gain of the control is bounded. Finally, the theoretical findings are validated via a set of numerical results.

Original languageEnglish
Article number4986026
Publication statusPublished - 2020
Externally publishedYes

ASJC Scopus subject areas

  • Computer Science(all)
  • General

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