The lossless embedding problem for time-varying contractive systems

Avraham Feintuch; Alexander Markus

doi:10.1016/0167-6911(96)00026-6

The lossless embedding problem for time-varying contractive systems

Department of Mathematics

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

1 Scopus citations

Abstract

We consider the problem of extending a given causal time-varying contraction T to become the partial input-output operator of a lossless system. We give a necessary and sufficient condition for the existence of such an embedding. In particular, this is the case for T strictly contractive. We show how to construct a large class of extensions for this case and discuss various examples of arbitrary contractions.

Original language	English
Pages (from-to)	181-187
Number of pages	7
Journal	Systems and Control Letters
Volume	28
Issue number	4
DOIs	https://doi.org/10.1016/0167-6911(96)00026-6
State	Published - 19 Aug 1996

Keywords

Contractions
Linear time-varying systems
Lossless embedding

ASJC Scopus subject areas

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

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10.1016/0167-6911(96)00026-6

Cite this

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abstract = "We consider the problem of extending a given causal time-varying contraction T to become the partial input-output operator of a lossless system. We give a necessary and sufficient condition for the existence of such an embedding. In particular, this is the case for T strictly contractive. We show how to construct a large class of extensions for this case and discuss various examples of arbitrary contractions.",

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AU - Markus, Alexander

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N2 - We consider the problem of extending a given causal time-varying contraction T to become the partial input-output operator of a lossless system. We give a necessary and sufficient condition for the existence of such an embedding. In particular, this is the case for T strictly contractive. We show how to construct a large class of extensions for this case and discuss various examples of arbitrary contractions.

AB - We consider the problem of extending a given causal time-varying contraction T to become the partial input-output operator of a lossless system. We give a necessary and sufficient condition for the existence of such an embedding. In particular, this is the case for T strictly contractive. We show how to construct a large class of extensions for this case and discuss various examples of arbitrary contractions.

KW - Contractions

KW - Linear time-varying systems

KW - Lossless embedding

UR - https://www.scopus.com/pages/publications/0042487190

U2 - 10.1016/0167-6911(96)00026-6

DO - 10.1016/0167-6911(96)00026-6

M3 - Article

AN - SCOPUS:0042487190

SN - 0167-6911

VL - 28

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EP - 187

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 4

ER -

The lossless embedding problem for time-varying contractive systems

Abstract

Keywords

ASJC Scopus subject areas

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