100 citations
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Showing 2024 · math.OCShow all
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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
A Lagrangian shape and topology optimization framework based on semi-discrete optimal transport
Charles Dapogny, Bruno Levy, Edouard Oudet
This article revolves around shape and topology optimization, in the applicative context where the objective and constraint functionals depend on the solution to a physical boundar…
math.OC2024★ 1 cited
Metric extrapolation in the Wasserstein space
Thomas O. Gallouët, Andrea Natale, Gabriele Todeschi
In this article we study a variational problem providing a way to extend for all times minimizing geodesics connecting two given probability measures, in the Wasserstein space. Thi…