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A Limited-Memory Multiple Shooting Method for Weakly Constrained Variational Data Assimilation

SIAM Journal on Numerical Analysis, 2016
Summary: Maximum-likelihood-based state estimation for dynamical systems with model error raises computational challenges in memory usage due to the much larger number of free variables when compared to the perfect model case. To address this challenge, we present a limited-memory method for maximum-likelihood-based estimation of state space models. We
Wanting Xu, Mihai Anitescu
openaire   +2 more sources

A multiple-shooting differential dynamic programming algorithm. Part 1: Theory

, 2020
Multiple-shooting benefits a wide variety of optimal control algorithms by alleviating large sensitivities present in highly nonlinear problems, improving robustness to initial guesses, and increasing the potential for parallel implementation.
Etienne Pellegrini, R. Russell
semanticscholar   +1 more source

Analysis of axisymmetric composite pressure domes by the multiple shooting method

38th Structures, Structural Dynamics, and Materials Conference, 1997
The governing equations for axisymmetric, composite, doubly curved shells are presented in first-order state vector form. A solution procedure is detailed for the direct numerical integration of the state vector equation by the method of multiple shooting. A number of example problems are solved.
Eric Johnson   +3 more
openaire   +1 more source

Multiple solutions of boundary value problems: an elementary approach via the shooting method

Nonlinear Differential Equations and Applications NoDEA, 1994
This paper dealts with the existence of multiple solutions for the two- point boundary value problems of the type \(u''+ f(t, u)= 0\), \(u(0)= 0\), \(u(\pi)= 0\), in terms of the behaviour of the ratio \(f(t, u)/u\) near \(u= 0\) and near infinity. It is assumed that \(f\) is at least a Carathéodory function in \([0, \pi]\times \mathbb{R}\).
Dinca, Gheorghe, Sanchez, Luis
openaire   +1 more source

Solution of constrained optimal control problems using multiple shooting and ESDIRK methods

2012 American Control Conference (ACC), 2012
In this paper, we describe a novel numerical algorithm for solution of constrained optimal control problems of the Bolza type for stiff and/or unstable systems. The numerical algorithm combines explicit singly diagonally implicit Runge-Kutta (ESDIRK) integration methods with a multiple shooting algorithm.
Andrea Capolei, John Bagterp Jørgensen
openaire   +1 more source

BIFURCATION ANALYSIS OF A DELAYED DYNAMIC SYSTEM VIA METHOD OF MULTIPLE SCALES AND SHOOTING TECHNIQUE

International Journal of Bifurcation and Chaos, 2005
This paper presents a detailed study on the bifurcation of a controlled Duffing oscillator with a time delay involved in the feedback loop. The first objective is to determine the bifurcating periodic motions and to obtain the global diagrams of local bifurcations of periodic motions with respect to time delay.
Huailei Wang, Haiyan Hu
openaire   +1 more source

An Improved Shooting and Bouncing Ray Method Based on Blend-Tree for EM Scattering of Multiple Moving Targets and Echo Analysis

IEEE Transactions on Antennas and Propagation
An improved shooting and bouncing ray (SBR) method based on the blend-tree structure is presented for solving the scattering from multiple complex movement targets.
W. Meng   +5 more
semanticscholar   +1 more source

A simple method for maintaining high multiplication of Narcissus shoot cultures in vitro

Plant Cell, Tissue and Organ Culture, 1992
A simple method for stimulating and maintaining high in vitro multiplication of Narcissus shoot clump cultures was developed. Shoot clumps were subjected either to ‘normal cutting’ where leaves were trimmed to 20 mm in length at the beginning of each culture passage or to ‘severe cutting’ where shoot clumps were cut down to the basal plate region ...
Y. N. Chow, C. Selby, B. M. R. Harvey
openaire   +1 more source

Fast reduced multiple shooting methods for nonlinear model predictive control

Chemical Engineering and Processing: Process Intensification, 2007
Nonlinear model predictive control (NMPC) has become an appealing control concept for chemical processes because it can directly take into account the multivariable character, nonlinearities and constraints on inputs and states. While linear MPC is frequently applied in the process industries, practical applications of NMPC are rare.
Schäfer, Andreas   +4 more
openaire   +2 more sources

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