Null controllability of semilinear integrodifferential systems in Banach space
type: Item
instance of: scholarly article
title: Null controllability of semilinear integrodifferential systems in Banach space
zbMATH Open document ID: 0892.93011
DOI: 10.1016/S0893-9659(97)00114-6
published in: Applied Mathematics Letters
publication date: 1998-08-09T00:00:00Z
review text: Semilinear abstract integrodifferential control systems with time-varying parameters and infinite delay are considered. It is assumed that the linear part contains an unbounded operator which is the infinitesimal generator of an analytic semigroup and the nonlinear part satisfies a Lipschitz type condition. Using a Schauder fixed point theorem, a sufficient condition for global null exact controllability in a given time interval is formulated and proved. As an illustrative example, null controllability of a partial integrodifferential control system with a uniformly elliptic linear part and a special form for the nonlinear part is discussed. Moreover, remarks and comments on controllability problems for semilinear abstract control systems are given. The purpose of the paper is to extend the results given in [\textit{K. Balachandran}, \textit{P. Balasubramaniam} and \textit{J. P. Dauer}, J. Optimization Theory Appl. 88, 61-75 (1996; Zbl 0848.93007)], to semilinear control systems with unbounded linear operators and infinite delay in the state variables.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1106448
zbMATH Keywords: infinite delay
zbMATH Keywords: global null exact controllability
zbMATH Keywords: integrodifferential control system
zbMATH Keywords: semilinear control systems
zbMATH Keywords: unbounded linear operators
author: J. P. Dauer
author: P. Balasubramaniam
reviewed by: Jerzy Klamka
MaRDI profile type: Publication
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full work available at URL: s0893-9659(97)00114-6
OpenAlex ID: W2073665871
Wikidata QID: Q127097010
description: scientific article; zbMATH DE number 1106448