Exact slow-fast decomposition of the singularly perturbed matrix differential Riccati equation
type: Item
instance of: scholarly article
title: Exact slow-fast decomposition of the singularly perturbed matrix differential Riccati equation
zbMATH Open document ID: 1198.34102
author: S. Koskie
author: C. Coumarbatch
author: Zoran Gajic
published in: Applied Mathematics and Computation
publication date: 2010-05-21T00:00:00Z
review text: Reduced-order pure-slow and pure-fast differential matrix Riccati equations are derived by decoupling a singularly perturbed differential matrix Riccati equation into a pure-slow regular differential matrix Riccati equation and a pure-fast differential matrix Riccati equation with singular perturbations. A solution of the original singularly perturbed differential matrix Riccati equation is given in terms of the pure-slow and the pure-fast reduced-order differential matrix Riccati equation and solutions of two reduced-order initial value problems. The model of a fluid catalytic reactor is considered as a practical example.
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 34B60
Mathematics Subject Classification ID: 34C20
Mathematics Subject Classification ID: 93C70
zbMATH DE Number: 5710878
zbMATH Keywords: singular perturbations
zbMATH Keywords: matrix Riccati equation
zbMATH Keywords: optimal control
zbMATH Keywords: boundary value problem
MaRDI profile type: Publication
full work available at URL: j.amc.2010.02.040
OpenAlex ID: W2068119118
Wikidata QID: Q56256733
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DBLP publication ID: journals/amc/KoskieCG10
DOI: 10.1016/J.AMC.2010.02.040
description: scientific article; zbMATH DE number 5710878