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A fixed point multiple shooting method
Computing, 1988A method is proposed for solving ordinary two-point boundary value problems of a certain type. It works if the problem can be transformed into a contracting fixed point equation by means of a Green's function which need not be known for the process. It is similar to multiple shooting but much simpler.
P. Meyer
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A multiple shooting method for the Zeeman effect
Journal of Physics A: Mathematical and Theoretical, 2009A multiple shooting procedure in coupled angular momentum spaces is used to calculate the Zeeman energy levels of the hydrogen atom. The method is found to deal efficiently with the low field splittings of initially degenerate states, including some Rydberg states.
J. Killingbeck, G. Jolicard
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Multiple Shooting Method for Initial Satellite Orbit Determination
Journal of Guidance, Control, and Dynamics, 2010After a satellite has been launched, the determination of its initial orbit is one of the primary tasks to be accomplished by mission control: e.g., in order to prepare for high-precision orbit determination or orbital transfers. For this purpose, tracking measurements are acquired by ground stations, which are the basis for the determination of the ...
Simon M. Lenz +5 more
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The Direct Multiple Shooting Method for Optimal Control
, 2011In this chapter we consider a class of continuous optimal control problems. We survey different numerical solution approaches that introduce computationally tractable variants of this problem and discuss their usefulness for the purpose of this thesis.
C. Kirches
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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
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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
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Cybersecurity and Cyberforensics Conference, 2018
This paper applies multiple-shooting method and modified particle swarm optimization to trajectory optimization of vehicles. The multiple-shooting method is used to discretize the control and state quantities of the vehicle model and transform the ...
Linren Zhuo +3 more
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This paper applies multiple-shooting method and modified particle swarm optimization to trajectory optimization of vehicles. The multiple-shooting method is used to discretize the control and state quantities of the vehicle model and transform the ...
Linren Zhuo +3 more
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Finding shortest gentle paths on polyhedral terrains by the method of multiple shooting
Journal of Computational Science, 2023The problem of finding shortest θ-gentle paths can be stated as follows: given two points p,q on a polyhedral terrain and a slope parameter θ∈(0,π/2), the objective is to find a path joining p and q on the terrain which is shortest such that the slope of the path does not exceed θ.
Thanh An Phan +3 more
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A Convergence Guaranteed Multiple-Shooting DDP Method for Optimization-Based Robot Motion Planning
IEEE transactions on industrial electronics (1982. Print)Optimization-based motion planning plays a pivotal role in addressing high-dimensional robotic manipulation tasks. This article studies the multiple-shooting differential dynamic programming (MS-DDP) method to solve high-dimensional constrained problems ...
Yunlai Wang +4 more
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