Higher-Order Retraction Maps and Construction of Numerical Methods for Optimal Control of Mechanical Systems-Reference-Cited by-同舟云学术

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Higher-Order Retraction Maps and Construction of Numerical Methods for Optimal Control of Mechanical Systems

Published:2023-12-13 Issue: Volume:930 Page:3288-3295
ISSN:
Container-title:2023 62nd IEEE Conference on Decision and Control (CDC)
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Author:

Simoes Alexandre Anahory¹,Liñán María Barbero²,Colombo Leonardo³,de Diego David Martín⁴

Affiliation:

1. School of Science and Technology, IE University,Spain

2. Universidad Politécnica de Madrid,Departamento de Matemática Aplicada,Madrid,Spain,28040

3. Centre for Automation and Robotics (CSIC-UPM), Ctra. M300 Campo Real, Km 0,200,Arganda del Rey, Madrid,Spain,28500

4. Institute of Mathematical Sciences (CSIC-UAM-UCM-UC3M),Madrid,Spain,28049

Publisher

IEEE

Link

http://xplorestaging.ieee.org/ielx7/10383192/10383193/10383230.pdf?arnumber=10383230

Reference32 articles.

1. Optimization Algorithms on Matrix Manifolds

2. Variational problems on Riemannian manifolds with constrained accelerations in CONTROLO 2022;Anahory Simoes

3. Newton's method on Riemannian manifolds and a geometric model for the human spine

4. Retraction Maps: A Seed of Geometric Integrators

5. Presymplectic Integrators for Optimal Control Problems via Retraction Maps

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