A note on controllability of semilinear integrodifferential systems in Banach spaces
type: Item
instance of: scholarly article
title: A note on controllability of semilinear integrodifferential systems in Banach spaces
zbMATH Open document ID: 0964.93010
DOI: 10.1155/S1048953300000174
published in: Journal of Applied Mathematics and Stochastic Analysis
publication date: 2001-01-14T00:00:00Z
full work available at URL: https://eudml.org/doc/48812
review text: Semilinear integrodifferential dynamical systems with linear dependence on the controls are considered. A definition of exact controllability in a given time interval is presented. Using the Schaefer fixed point theorem, a sufficient condition for exact controllability is formulated and proved. In the proof several results taken from nonlinear functional analysis are used. Moreover, the paper contains several remarks and comments on the controllability problem for abstract nonlinear control systems. The relationships to the results existing in the literature are also given. Similar controllability problems for nonlinear control systems have been recently considered in the paper [\textit{K. Balachandran}, \textit{J. P. Dauer} and \textit{P. Balasubramaniam}, Controllability of nonlinear integrodifferential systems in Banach space, J. Optimization Theory Appl. 84, No. 1, 83-91 (1995; Zbl 0821.93010)].
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1507628
zbMATH Keywords: semilinear integrodifferential dynamical systems
zbMATH Keywords: exact controllability
zbMATH Keywords: fixed point theorem
zbMATH Keywords: abstract nonlinear control systems
author: Krishnan Balachandran
author: R. Sakthivel
reviewed by: Jerzy Klamka
MaRDI profile type: Publication
OpenAlex ID: W2164229356
description: scientific article; zbMATH DE number 1507628