On Strong Stability and Stabilizability of Linear Systems of Neutral Type View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2004

AUTHORS

Rabah Rabah , Grigory M. Sklyar , Alexandr V. Rezounenko

ABSTRACT

For linear stationary systems, the infinite dimensional framework allows one to distinguish different notions of stability: weak, strong or exponential. The purpose of this chapler is to investigate the problem of strong stability, i.e. asymptotic non-exponential stability for linear systems of neutral type in order to use this characterization in the study of the stabilizability problem for this type of systems. An important tool in this investigation is the Riesz basis property of generalized eigenspaces of the neutral system, because that the generalized eigenvectors do not form, in general, a Riesz basis. This allows one to describe more precisely asymptotic non-exponential stability of neutral systems. For a particular case, conditions of strong stabilizability of neutral type systems are given with a feedback law without derivative of the delayed state. More... »

PAGES

257-268

Book

TITLE

Advances in Time-Delay Systems

ISBN

978-3-540-20890-7
978-3-642-18482-6

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-642-18482-6_19

DOI

http://dx.doi.org/10.1007/978-3-642-18482-6_19

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1024297616


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