Control parametrization enhancing technique for solving a special ODE class with state dependent switch
type: Item
instance of: scholarly article
title: Control parametrization enhancing technique for solving a special ODE class with state dependent switch
zbMATH Open document ID: 1030.65077
DOI: 10.1023/A:1024735407694
published in: Journal of Optimization Theory and Applications
publication date: 2003-09-15T00:00:00Z
review text: The paper deals with a numerical approach for ordinary differential equations (ODEs) of the standard form \(\dot x = f(x,t)\), but with the assumption that the given function \(f\) is discontinuous with respect to the state variable \(x\). The difficulty in the problem lies in the fact that it is not known a priori when a discontinuity of \(f\) is crossed as the time \(t\) grows. The numerical integration problem associated with this equation is rewritten as an optimal control problem, and the so-called control parametrization enhancing technique is used to provide an efficient numerical solution.
reviewed by: Kai Diethelm
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 49J15
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 1981572
zbMATH Keywords: state dependent switch
zbMATH Keywords: control parametrization enhancement
zbMATH Keywords: discontinuous data
zbMATH Keywords: ptimal control
author: H. W. Joseph Lee
author: Kok Lay Teo
describes a project that uses: MISER3
MaRDI profile type: Publication
cites work: Q5674335
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full work available at URL: a:1024735407694
OpenAlex ID: W1542932705
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description: scientific article; zbMATH DE number 1981572