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20092026
most citedWeak Form of Stokes-Dirac Structures and Geometric Discretization of Port-Hamiltonian Systems

72 citations

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6 papers · 1 filter

math.AP2021

Forwarding-Lyapunov design for the stabilization of coupled ODEs and exponentially stable PDEs

Swann Marx, Daniele Astolfi, Vincent Andrieu

This paper is about the stabilization of a cascade system composed by an infinite-dimensional system, that we suppose to be exponentially stable, and an ordinary differential equat…

math.AP2019★ 7 cited

Adding integral action for open-loop exponentially stable semigroups and application to boundary control of PDE systems

A Terrand-Jeanne, Vincent Andrieu, Valérie Dos Santos Martins +1

The paper deals with output feedback stabilization of exponentially stable systems by an integral controller. We propose appropriate Lyapunov functionals to prove exponential stabi…

math.AP2017★ 41 cited

Design of Integral Controllers for Nonlinear Systems Governed by Scalar Hyperbolic Partial Differential Equations

Vincent Andrieu, Ngoc-Tu Trinh, Cheng-Zhong Xu

The paper deals with the control and regulation by integral controllers forthe nonlinear systems governed by scalar quasi-linear hyperbolic partial differentialequations. Both the…

math.AP2016

Global stabilization of a Korteweg-de Vries equation with saturating distributed control

Swann Marx, Eduardo Cerpa, Christophe Prieur +1

This article deals with the design of saturated controls in the context of partial differential equations. It focuses on a Korteweg-de Vries equation, which is a nonlinear mathemat…

math.AP2016★ 2 cited

Global stabilization of a Korteweg-de Vries equation with a distributed control saturated in L 2 -norm

Swann Marx, Eduardo Cerpa, Christophe Prieur +1

This article deals with the design of saturated controls in the context of partial differential equations. It is focused on a Korteweg-de Vries equation, which is a nonlinear mathe…

math.AP2015

Stabilization of a linear Korteweg-de Vries equation with a saturated internal control

Swann Marx, Eduardo Cerpa, Christophe Prieur +1

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 mathemat…