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Periodical body's deformations are optimal strategies for locomotion

Laetitia Giraldi 1 Frédéric Jean 2 
1 CALISTO - Stochastic Approaches for Complex Flows and Environment
CEMEF - Centre de Mise en Forme des Matériaux, CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : A periodical cycle of body's deformation is a common strategy for locomotion (see for instance birds, fishes, humans). The aim of this paper is to establish that the auto-propulsion of deformable object is optimally achieved using periodic strategies of body's deformations. This property is proved for a simple model using optimal control theory framework.
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Submitted on : Tuesday, August 13, 2019 - 3:54:42 PM
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Laetitia Giraldi, Frédéric Jean. Periodical body's deformations are optimal strategies for locomotion. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2020, 58 (3), pp.1700-1714. ⟨10.1137/19M1280120⟩. ⟨hal-02266220⟩



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