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A Unified Local Convergence Analysis of Differential Dynamic Programming, Direct Single Shooting, and Direct Multiple Shooting

European Control Conference, 2023
We revisit three classical numerical methods for solving unconstrained optimal control problems - differential dynamic programming, direct single shooting, and direct multiple shooting - and examine their local convergence behaviour.
Katrin Baumgärtner   +2 more
semanticscholar   +1 more source

Variational Multiple Shooting: Theory and Applications [PDF]

open access: yes, 2017
Electric low-thrust propulsion has nowadays found wide application in space dynamics as it entails considerable savings in spacecraft propellant mass, thanks to the very high specific impulse that this kind of engine is able to generate. However, continuous thrust opens new extensive sets of feasible trajectories, and optimization algorithms are needed
Greco, Cristian (author)
openaire   +2 more sources

Adaptive Multiple Shooting for Boundary Value Problems and Constrained Parabolic Optimization Problems [PDF]

open access: yes, 2015
Subject of this thesis is the development of adaptive techniques for multiple shooting methods. The focus is on the application to optimal control problems governed by parabolic partial differential equations.
M. Geiger
semanticscholar   +2 more sources

Data-Driven Multiple Shooting for Stochastic Optimal Control

IEEE Control Systems Letters, 2022
The implementation of data-driven predictive control schemes based on Willems’ fundamental lemma often relies on a single-shooting approach, i.e., it uses one large Hankel matrix to cover the entire optimization horizon.
Ruchuan Ou, Guanru Pan, T. Faulwasser
semanticscholar   +1 more source

Multiple-shooting adjoint method for whole-brain dynamic causal modeling

Information Processing in Medical Imaging, 2021
Dynamic causal modeling (DCM) is a Bayesian framework to infer directed connections between compartments, and has been used to describe the interactions between underlying neural populations based on functional neuroimaging data.
Juntang Zhuang   +5 more
semanticscholar   +1 more source

The switching-method in multiple shooting

Computing, 1998
Multiple shooting is a well-known technique for the numerical solution of boundary value problems for ordinary differential equations. In order to solve the boundary value problems one has to solve initial value problems defined in the subintervalls of a given grid of shooting points.
BELLAVIA, STEFANIA   +2 more
openaire   +1 more source

A direct multiple shooting method to improve vehicle handling and stability for four hub-wheel-drive electric vehicle during regenerative braking

Proceedings of the Institution of mechanical engineers. Part D, journal of automobile engineering, 2020
Regenerative braking is an important technology to improve fuel economy for electric vehicles. Apart from improving energy recovery efficiency and vehicle stability, the arithmetic speed of the algorithm is also essential for an automotive-qualified ...
Nenglian Feng, Jiawang Yong, Ziqi Zhan
semanticscholar   +1 more source

Extreme risk protection orders in response to threats of multiple victim/mass shooting in six U.S. states: A descriptive study.

Preventive Medicine, 2022
Extreme risk protection orders (ERPOs), also known as red flag laws, are a potential tool to prevent firearm violence, including mass shootings, but little is currently known about the extent of their use in cases of mass shooting threats or about the ...
April M. Zeoli   +17 more
semanticscholar   +1 more source

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