0000000000636676

AUTHOR

Piernicola Bettiol

showing 5 related works from this author

Optimal Control Theory and the Swimming Mechanism of the Copepod Zooplankton

2016

In this article, the model of swimming at low Reynolds number introduced by D. Takagi (2015) to analyze the displacement of an abundant variety of zooplankton is used as a testbed to analyze the motion of symmetric microswimmers in the framework of optimal control theory assuming that the motion occurs minimizing the energy dissipated by the fluid drag forces in relation with the concept of efficiency of a stroke. The maximum principle is used to compute periodic controls candidates as minimizing controls and is a decisive tool combined with appropriate numerical simulations using indirect optimal control schemes to determine the most efficient stroke compared with standard computations usi…

[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC][MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC][MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]ComputingMethodologies_COMPUTERGRAPHICS
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Sub-Riemannian Geometry and swimming at low Reynolds number

2017

International audience

[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC][MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]ComputingMilieux_MISCELLANEOUS
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Optimal control theory, sub-Riemannian geometry and swimming of copepod

2017

International audience

[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC][MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]ComputingMilieux_MISCELLANEOUS
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Optimal Control Theory and the Efficiency of the Swimming Mechanism of the Copepod Zooplankton

2017

International audience

[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC][MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]ComputingMilieux_MISCELLANEOUS
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Optimal Control Techniques for Sampled-Data Control Systems with Medical Applications

2020

International audience

[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC][MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]ComputingMilieux_MISCELLANEOUS
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