Convex and concave relaxations for the parametric solutions of semi-explicit index-one differential-algebraic equations
type: Item
instance of: scholarly article
title: Convex and concave relaxations for the parametric solutions of semi-explicit index-one differential-algebraic equations
zbMATH Open document ID: 1284.65095
author: Joseph K. Scott
author: Paul I. Barton
published in: Journal of Optimization Theory and Applications
publication date: 2013-05-08T00:00:00Z
review text: A general system of nonlinear, semi-explicit, index-one differential algebraic equations is considered. The authors develop a numerical method for computing a convex underestimator and a concave overestimator of the parametric solutions of the considered system. The proposed method is automatable and uses a generalization of McCormick's relaxation [\textit{J. K. Scott} et al., J. Glob. Optim. 51, No. 4, 569--606 (2011; Zbl 1232.49033)], and the method of relaxations of the original differential equations [\textit{J. K. Scott} et al., Optim. Control Appl. Methods 34, No. 2, 145--163 (2013; Zbl 1273.93089)].
reviewed by: Svetlana A. Kravchenko
Mathematics Subject Classification ID: 65L80
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 49M20
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 34L30
zbMATH DE Number: 6161530
zbMATH Keywords: dynamic optimization
zbMATH Keywords: optimal control
zbMATH Keywords: global optimization
zbMATH Keywords: convex relaxation
zbMATH Keywords: index-one differential algebraic equations
zbMATH Keywords: convex underestimator
zbMATH Keywords: concave overestimator
zbMATH Keywords: parametric solutions
describes a project that uses: SUNDIALS
describes a project that uses: libMC
describes a project that uses: CVODE
MaRDI profile type: Publication
full work available at URL: s10957-012-0149-8
OpenAlex ID: W2087741918
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cites work: SUNDIALS
DOI: 10.1007/S10957-012-0149-8
description: scientific article; zbMATH DE number 6161530