Controllability of neutral functional integrodifferential systems in Banach spaces
type: Item
instance of: scholarly article
title: Controllability of neutral functional integrodifferential systems in Banach spaces
zbMATH Open document ID: 0982.93019
DOI: 10.1016/S0898-1221(99)00318-1
publication date: 2002-04-08T00:00:00Z
review text: Semilinear, neutral functional integrodifferential control systems defined in Banach spaces are considered. Using the Schaefer fixed-point theorem, a sufficient condition for exact relative controllability with unconstrained controls in a given time interval is formulated and proved. In the proof of the main result, methods taken from the theory of semigroups of operators are extensively used. Theoretical considerations are illustrated by the controllability investigations for a partial integrodifferential equation with second-order differential operator. The paper also contains remarks concerning controllability results for infinite-dimensional semilinear control systems. Finally, it should be stressed that similar controllability problems have been recently discussed in the paper [\textit{K. Balachandran} and \textit{J. P. Dauer}, Controllability of Sobolev-type integrodifferential systems in Banach spaces, J. Math. Anal. Appl. 217, 335-348 (1998; Zbl 0927.93015)].
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 34K35
zbMATH DE Number: 1428552
zbMATH Keywords: neutral functional integrodifferential control systems
zbMATH Keywords: Schaefer fixed-point theorem
zbMATH Keywords: exact relative controllability
zbMATH Keywords: semilinear control systems
author: Krishnan Balachandran
author: R. Sakthivel
author: J. P. Dauer
reviewed by: Jerzy Klamka
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1428552