On strong stabilization for linear continuous time time-varying systems

Avraham Feintuch

doi:10.1016/j.sysconle.2008.01.009

On strong stabilization for linear continuous time time-varying systems

Avraham Feintuch

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

This paper deals with the strong stabilization problem for linear time-varying continuous time systems. The main result is that for such systems internally stabilizable systems may not be strongly stabilizable. This follows from the fact that the algebra of stable systems has infinite (Bass) stable rank.

Original language	English
Pages (from-to)	691-695
Number of pages	5
Journal	Systems and Control Letters
Volume	57
Issue number	9
DOIs	https://doi.org/10.1016/j.sysconle.2008.01.009
State	Published - 1 Sep 2008

Keywords

Causality
Continuous nests
Coprime factorizations
Stabilization
Stable rank
Time-varying linear systems

ASJC Scopus subject areas

Control and Systems Engineering
General Computer Science
Mechanical Engineering
Electrical and Electronic Engineering

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10.1016/j.sysconle.2008.01.009

Cite this

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title = "On strong stabilization for linear continuous time time-varying systems",

abstract = "This paper deals with the strong stabilization problem for linear time-varying continuous time systems. The main result is that for such systems internally stabilizable systems may not be strongly stabilizable. This follows from the fact that the algebra of stable systems has infinite (Bass) stable rank.",

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AB - This paper deals with the strong stabilization problem for linear time-varying continuous time systems. The main result is that for such systems internally stabilizable systems may not be strongly stabilizable. This follows from the fact that the algebra of stable systems has infinite (Bass) stable rank.

KW - Causality

KW - Continuous nests

KW - Coprime factorizations

KW - Stabilization

KW - Stable rank

KW - Time-varying linear systems

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EP - 695

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 9

ER -

On strong stabilization for linear continuous time time-varying systems

Abstract

Keywords

ASJC Scopus subject areas

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