Results 1 to 10 of about 2,075,582 (187)
Direct multiple shooting method for solving approximate shortest path problems
Journal of Computational and Applied Mathematics, 2013 We use the idea of the direct multiple shooting method (presented by Bock in Proceedings of the 9th IFAC World Congress Budapest, Pergamon Press, 1984, for solving optimal control problems) to introduce an algorithm for solving some approximate shortest path problems in motion planning.
Thanh An Phan, N. N. Hai, T. Hoai
exaly +3 more sources
Block-structured quadratic programming for the direct multiple shooting method for optimal control
Optimization Methods and Software, 2011 In this contribution we address the efficient solution of optimal control problems of dynamic processes with many controls. Such problems typically arise from the convexification of integer control decisions. We treat this problem class using the direct multiple shooting method to discretize the optimal control problem. The resulting nonlinear problems
Sebastian Sager +2 more
exaly +3 more sources
A modified scheme to the multiple shooting method for BVPs
Alexandria Engineering JournalA significant modification of the multiple shooting method for solving nth order boundary value problems (BVPs) is presented. Initially, the mathematical foundation of this modification is elucidated.
Samad Kheybari +4 more
doaj +4 more sources
Global optimal control with the direct multiple shooting method
Optimal Control Applications and Methods, 2018 SummaryWe propose to solve global optimal control problems with a new algorithm that is based on Bock's direct multiple shooting method. We provide conditions and numerical evidence for a significant overall runtime reduction compared to the standard single shooting approach.
Sebastian Sager
exaly +6 more sources
A continuation multiple shooting method for Wasserstein geodesic equation [PDF]
SIAM Journal on Scientific Computing, 2021 In this paper, we propose a numerical method to solve the classic $L^2$-optimal transport problem. Our algorithm is based on use of multiple shooting, in combination with a continuation procedure, to solve the boundary value problem associated to the ...
J. Cui, L. Dieci, Haomin Zhou
semanticscholar +4 more sources
Multiple shooting method for two-point boundary value problems [PDF]
Communications of the ACM, 1962 The common techniques for solving two-point boundary value problems can be classified as either "shooting" or "finite difference" methods. Central to a shooting method is the ability to integrate the differential equations as an initial value problem with guesses for the unknown initial values.
D. Morrison, J. Riley, John F. Zancanaro
semanticscholar +2 more sources
Multiple-shooting adjoint method for whole-brain dynamic causal modeling [PDF]
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 +3 more sources
Multiple Shooting-Local Linearization method for the identification of dynamical systems [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2015 The combination of the multiple shooting strategy with the generalized Gauss–Newton algorithm turns out in a recognized method for estimating parameters in ordinary differential equations (ODEs) from noisy discrete observations.
Françoise Carbonell +2 more
semanticscholar +5 more sources
Complementary Condensing for the Direct Multiple Shooting Method [PDF]
Optimization Methods and Software, 2009 In this contribution, we address the efficient solution of optimal control problems of dynamic processes with many controls. Such problems arise, for example, from the outer convexification of integer control decisions. We treat this optimal control problem class using the direct multiple shooting method to discretize the optimal control problem.
C. Kirches +3 more
semanticscholar +2 more sources
OPTIMAL CONTROL OF THE ATMOSPHERIC ARC OF A SPACE SHUTTLE AND NUMERICAL SIMULATIONS WITH MULTIPLE-SHOOTING METHOD [PDF]
Mathematical Models and Methods in Applied Sciences, 2005 This article, continuation of previous works,5,3 presents the applications of geometric optimal control theory to the analysis of the Earth re-entry problem for a space shuttle where the control is the angle of bank, the cost is the total amount of thermal flux, and the system is subject to state constraints on the thermal flux, the normal ...
B. Bonnard, L. Faubourg, E. Trélat
semanticscholar +4 more sources