Controllability of two-point nonlinear boundary-value problems by the numerical-analytic method
type: Item
instance of: scholarly article
title: Controllability of two-point nonlinear boundary-value problems by the numerical-analytic method
zbMATH Open document ID: 1059.93015
DOI: 10.1016/S0096-3003(03)00524-1
published in: Applied Mathematics and Computation
publication date: 2004-08-06T00:00:00Z
review text: Exact and approximate controllability problems are studied for the finite-dimensional control system \(y' =A(t)y+B(t)u+g(t)+f(t,y,z,u)\), \(z'=F(t,y,z,u)\) with the two types of conditions: (i) \(y(0)=a\), \(z(0)=b\), \(y(T)=c\), \(z(T)=d\), or, (ii) \(y(0)=a\), \(y(T)=c\), \(Q_1 z(0)+Q_2 z(T)=b\). The functions involved are continuous, \(Q_i\), \(i=1,2\), are given matrices and \(T\) is fixed. The method consists in constructing approximate solutions which converge to the desired solution.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 2082086
zbMATH Keywords: nonlinear controllability
zbMATH Keywords: numerical-analytic method
zbMATH Keywords: boundary value problem
author: M. Akhmet
author: A. Zafer
reviewed by: Ovidiu Cârjă
MaRDI profile type: Publication
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full work available at URL: s0096-3003(03)00524-1
OpenAlex ID: W2153813547
description: scientific article; zbMATH DE number 2082086