Higher-order approximations of linear control systems via Runge-Kutta schemes
type: Item
instance of: scholarly article
title: Higher-order approximations of linear control systems via Runge-Kutta schemes
zbMATH Open document ID: 0881.34024
DOI: 10.1007/BF02684347
published in: Computing
publication date: 1998-01-13T00:00:00Z
review text: The author considers a generalization of Runge-Kutta schemes for control systems when the control is not smooth with respect to time: (1) \(y'(t)=Ay(t)+Bu(t)\), \(y(0)=x\), where \(u(t): [0,\infty) \to [0,1]^M\) is the control, \(A\) and \(B\) are constant matrices. There are results concerning higher-order approximations for system (1) and second-order approximations for systems of a more general form.
Mathematics Subject Classification ID: 65J99
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 93B03
Mathematics Subject Classification ID: 93B40
zbMATH DE Number: 1045487
zbMATH Keywords: reachable sets
zbMATH Keywords: discrete time approximations
zbMATH Keywords: Runge-Kutta schemes
author: Roberto Ferretti
reviewed by: S. Yanchuk
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1045487