Approximate controllability of second-order distributed implicit functional systems

In this paper we study the approximate controllability of control systems with states and controls in Hilbert spaces, and described by a second-order semilinear abstract functional differential equation with infinite delay. Initially we establish a characterization for the approximate controllabilit...

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Bibliographic Details
Published in:	Nonlinear analysis Vol. 70; no. 2; pp. 1023 - 1039
Main Authors:	Henriquez, Hernan R, Hernandez, Eduardo
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 15.01.2009
Subjects:	Controllability of systems Cosine functions of operators Distributed control systems Partial functional differential equations secondary Controllability of systems Distributed control systems Partial functional differential equations Cosine functions of operators primary
ISSN:	0362-546X, 1873-5215
Online Access:	Get full text
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Summary:	In this paper we study the approximate controllability of control systems with states and controls in Hilbert spaces, and described by a second-order semilinear abstract functional differential equation with infinite delay. Initially we establish a characterization for the approximate controllability of a second-order abstract linear system and, in the last section, we compare the approximate controllability of a semilinear abstract functional system with the approximate controllability of the associated linear system.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2008.01.029