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20052025
most citedDegenerate parabolic stochastic partial differential equations: Quasilinear case

90 citations

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7 papers · 1 filter

math.OC2024★ 1 cited

Quadratic obstructions to small-time local controllability for multi-input systems

Théo Gherdaoui

We present a necessary condition for the small-time local controllability of multi-input control-affine systems on . This condition is formulated on the vectors of resu…

math.OC2024★ 2 cited

Small-Time Local Controllability of the multi-input bilinear Schrödinger equation thanks to a quadratic term

Théo Gherdaoui

The goal of this article is to contribute to a better understanding of the relations between the exact controllability of nonlinear PDEs and the control theory for ODEs based on Li…

math.OC2024

Examples of small-time controllable Schrödinger equations

Karine Beauchard, Eugenio Pozzoli

A variety of physically relevant bilinear Schrödinger equations are known to be approximately controllable in large times. There are however examples which are approximately contro…

math.OC2023★ 6 cited

Energy Management System for a Low Voltage Direct Current Microgrid: Modeling and experimental validation

Yanandlall Gopee, Margot Gaetani-Liseo, Anne Blavette +3

In the field of microgrids with a significant integration of Renewable Energy Sources, the efficient and practical power storage systems requirement is causing DC microgrids to gai…

math.OC2021

Polygons as maximizers of Dirichlet energy or first eigenvalue of Dirichlet-Laplacian among convex planar domains

Jimmy Lamboley, Arian Novruzi, Michel Pierre

In this paper we prove that solutions to several shape optimization problems in the plane, with a convexity constraint on the admissible domains, are polygons. The main terms of th…

math.OC2018★ 28 cited

Global null-controllability and nonnegative-controllability of slightly superlinear heat equations

Kévin Le Balc'H

We consider the semilinear heat equation posed on a smooth bounded domain of with Dirichlet or Neumann boundary conditions. The control input is a source term…

math.OC2015

Estimates of First and Second Order Shape Derivatives in Nonsmooth Multidimensional Domains and Applications

Jimmy Lamboley, Arian Novruzi, Michel Pierre

In this paper we investigate continuity properties of first and second order shape derivatives of functionals depending on second order elliptic PDE's around nonsmooth domains, ess…