The Analysis of Exact Controllability of Neutral-Type Systems by the Moment Problem Approach

The problem of exact null-controllability is considered for a wide class of linear neutral-type systems with distributed delay. The main tool of the analysis is the application of the moment problem approach and the theory of the basis property of exponential families. A complete characterization of...

Full description

Saved in:
Bibliographic Details
Published inSIAM journal on control and optimization Vol. 46; no. 6; pp. 2148 - 2181
Main Authors Rabah, Rabah, Sklyar, Grigory M.
Format Journal Article
LanguageEnglish
Published Philadelphia Society for Industrial and Applied Mathematics 01.01.2007
Subjects
Eigenvectors
Mathematics
Optimization and Control
System theory
Exact controllability
Moment problem
Neutral-type systems
Distributed delays
Riesz basis
Online AccessGet full text
ISSN0363-0129
1095-7138
DOI10.1137/060650246

Cover

More Information
Summary:The problem of exact null-controllability is considered for a wide class of linear neutral-type systems with distributed delay. The main tool of the analysis is the application of the moment problem approach and the theory of the basis property of exponential families. A complete characterization of this problem is given. The minimal time of controllability is specified. The results are based on the analysis of the Riesz basis property of eigenspaces of the neutral-type systems in Hilbert space.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
content type line 14
ISSN:0363-0129
1095-7138
DOI:10.1137/060650246