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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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20 papers · 1 filter

math.OC2026

Global Convergence of Control-Based Lagrangian Flows for Non-Convex Optimization

Simone Pirrera, Francesco Ripa, Daniele Astolfi +3

This paper studies the continuous-time dynamics generated by control-theoretic Lagrangian methods for equality-constrained optimization. In particular, we consider dynamics induced…

math.OC2024★ 6 cited

Edges' Riemannian energy analysis for synchronization of multi-agent nonlinear systems over undirected weighted graphs

Vincent Andrieu, Daniele Astolfi, Alexandre Cellier-Devaux

In this note we investigate the problem of global exponential synchronization of multi-agent systems described by nonlinear input affine dynamics. We consider the case of networks…

math.OC2024★ 1 cited

Integral action feedback design for conservative abstract systems in the presence of input nonlinearities

Ling Ma, Vincent Andrieu, Daniele Astolfi +3

In this article, we present a stabilization feedback law with integral action for conservative abstract linear systems subjected to actuator nonlinearity. Based on the designed con…

math.OC2024

Output feedback stabilisation of bilinear systems via control templates

Ludovic Sacchelli, Lucas Brivadis, Ulysse Serres +1

We establish a separation principle for the output feedback stabilisation of state-affine systems that are observable at the stabilization target. Relying on control templates (rec…

math.OC2024★ 1 cited

On the existence of KKL observers with nonlinear contracting dynamics (Long Version)

Victor Pachy, Vincent Andrieu, Pauline Bernard +2

KKL (Kazantzis-Kravaris/Luenberger) observers are based on the idea of immersing a given nonlinear system into a target system that is a linear stable filter of the measured output…

math.OC2021

Approximate observability and back and forth observer of a PDE model of crystallisation process

Lucas Brivadis, Ludovic Sacchelli

In this paper, we are interested in the estimation of Particle Size Distributions (PSDs) during a batch crystallization process in which particles of two different shapes coexist a…

math.OC2020★ 10 cited

New dynamical observer for a batch crystallization process based on solute concentration

Vincent Andrieu, Emilie Gagnière, Elodie Chabanon +4

In this paper a new observer is introduced to estimate the Crystal Size Distribution (CSD) only from the measurements of the solute concentration, temperature and a model of the gr…

math.OC2020

From local to global asymptotic stabilizability for weakly contractive control systems

Vincent Andrieu, Lucas Brivadis, Jean-Paul Gauthier +2

A nonlinear control system is said to be weakly contractive in the control if the flow that it generates is non-expanding (in the sense that the distance between two trajectories i…

math.OC2020★ 16 cited

Luenberger observers for infinite-dimensional systems, Back and Forth Nudging and application to a crystallization process

Lucas Brivadis, Vincent Andrieu, Ulysse Serres +1

This paper deals with the observer design problem for time-varying linear infinite-dimensional systems. We address both the problem of online estimation of the state of the system…

math.OC2018★ 3 cited

Generalized Port-Hamiltonian DAE Systems

Arjan van der Schaft, Bernhard Maschke

Motivated by recent work in this area we expand on a generalization of port-Hamiltonian systems that is obtained by replacing the Hamiltonian function representing energy storage b…

math.OC2017★ 27 cited

On the triangular canonical form for uniformly observable controlled systems

Pauline Bernard, Laurent Praly, Vincent Andrieu +1

We study controlled systems which are uniformly observable and differentially observable with an order larger than the system state dimension. We establish that they may be transfo…

math.OC2017★ 30 cited

Observers for a non-Lipschitz triangular form

Pauline Bernard, Laurent Praly, Vincent Andrieu

We address the problem of designing an observer for triangular non locally Lipschitz dynamical systems. We show the convergence with an arbitrary small error of the classical high…

math.OC2015

Union d'une commande par backstepping avec une commande locale

Humberto Stein Shiromoto, Vincent Andrieu, Christophe Prieur

Systems for which the backstepping technique cannot be applied are considered. A criterion for the design of a hybrid feedback law is proposed by blending a local stabilizer with a…

math.OC2015★ 2 cited

Combining a backstepping controller with a local stabilizer

Humberto Stein Shiromoto, Vincent Andrieu, Christophe Prieur

We consider nonlinear control systems for which there exist some structural obstacles to the design of classical continuous stabilizing feedback laws. More precisely, it is studied…

math.OC2015★ 1 cited

Interconnecting a System Having a Single Input-to-State Gain With a System Having a Region-Dependent Input-to-State Gain

Humberto Stein Shiromoto, Vincent Andrieu, Christophe Prieur

For an ISS system, by analyzing local and non-local properties, it is obtained different input-to-state gains. The interconnection of a system having two input-to-state gains with…

math.OC2015★ 3 cited

Relaxed and hybridized backstepping

Humberto Stein Shiromoto, Vincent Andrieu, Christophe Prieur

In the present work, we consider nonlinear control systems for which there exist structural obstacles to the design of classical continuous backstepping feedback laws. We conceive…

math.OC2015★ 5 cited

Locally optimal controllers and globally inverse optimal controllers

Sofiane Benachour, Humberto Stein Shiromoto, Vincent Andrieu

In this paper we consider the problem of global asymptotic stabilization with prescribed local behavior. We show that this problem can be formulated in terms of control Lyapunov fu…

math.OC2012★ 24 cited

On the Characterization of the Duhem Hysteresis Operator with Clockwise Input-Output Dynamics

Ruiyue Ouyang, Vincent Andrieu, Bayu Jayawardhana

In this paper we investigate the dissipativity property of a certain class of Duhem hysteresis operator, which has clockwise (CW) input-output (I/O) behavior. In particular, we pro…

math.OC2011★ 4 cited

Port-Hamiltonian systems on graphs

A. J. van der Schaft, B. M. Maschke

In this paper we present a unifying geometric and compositional framework for modeling complex physical network dynamics as port-Hamiltonian systems on open graphs. Basic idea is t…

math.OC2009

Microlocal normal forms for regular fully nonlinear two-dimensional control systems

Ulysse Serres

In the present paper we deal with fully nonlinear two-dimensional smooth control systems with scalar input $\dot{q} = \bs{f}(q,u)$, , , where and are diff…