Symbolic-numeric indirect method for solving optimal control problems for large multibody systems
type: Item
instance of: scholarly article
title: Symbolic-numeric indirect method for solving optimal control problems for large multibody systems
zbMATH Open document ID: 1104.70003
author: M. Lio
author: Enrico Bertolazzi
author: Francesco Biral
published in: Multibody System Dynamics
publication date: 2005-06-22T00:00:00Z
review text: This paper presents a procedure for solving optimal control problems for multibody and mechatronic systems. This procedure allows to obtain necessary optimality conditions and their Jacobians, based on calculus of variation and on a new formulation for boundary conditions. The algorithm proposed to solve the boundary value problem is based on an affine invariant Newton scheme.
reviewed by: Sergiu T. Chiriacescu
Mathematics Subject Classification ID: 70-08
Mathematics Subject Classification ID: 70Q05
Mathematics Subject Classification ID: 49N90
Mathematics Subject Classification ID: 70E55
Mathematics Subject Classification ID: 49-04
Mathematics Subject Classification ID: 70-04
zbMATH DE Number: 2177886
zbMATH Keywords: boundary value problem
zbMATH Keywords: finite difference method
zbMATH Keywords: affine invariant Newton scheme
describes a project that uses: COOPT
describes a project that uses: SNOPT
MaRDI profile type: Publication
full work available at URL: s11044-005-3987-4
OpenAlex ID: W2131424409
cites work: Optimal control
cites work: Symbolic-numeric efficient solution of optimal control problems for multibody systems
cites work: SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization
cites work: COOPT -- a software package for optimal control of large-scale differential-algebraic equation systems
cites work: Q4280834
cites work: Q4861451
cites work: Numerical solution of constrained optimal control problems with parameters
cites work: Affine Invariant Convergence Theorems for Newton’s Method and Extensions to Related Methods
DOI: 10.1007/S11044-005-3987-4
description: scientific article; zbMATH DE number 2177886