2015 European Control Conference, ECC 2015

Swann Marx, Eduardo Cerpa, Christophe Prieur, Vincent Andrieu

Research output: Contribution to conferencePaper

9 Citations (Scopus)

Abstract

© 2015 EUCA. This article deals with the design of saturated controls in the context of partial differential equations. It is focused on a linear Korteweg-de Vries equation, which is a mathematical model of waves on shallow water surfaces. In this article, we close the loop with a saturating input that renders the equation nonlinear. The well-posedness is proven thanks to the nonlinear semigroup theory. The proof of the asymptotic stability of the closed-loop system uses a Lyapunov function.
Original languageEnglish
Pages867-872
Number of pages6
DOIs
Publication statusPublished - 16 Nov 2015
Eventconference -
Duration: 16 Nov 2015 → …

Conference

Conferenceconference
Period16/11/15 → …

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  • Cite this

    Marx, S., Cerpa, E., Prieur, C., & Andrieu, V. (2015). 2015 European Control Conference, ECC 2015. 867-872. Paper presented at conference, . https://doi.org/10.1109/ECC.2015.7330651