Orthogonal embeddings of linear time-varying systems

Avraham Feintuch

doi:10.1007/s00498-003-0127-7

Orthogonal embeddings of linear time-varying systems

Avraham Feintuch

Department of Mathematics

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

Abstract

Given a contractive linear system T which is represented as a causal linear contractive operator on a Hilbert space H, we study the question: When does there exist an isometric or unitary causal extension of T to H ⊕H? Here causality is formulated as a lower triangularity condition and we assume the same causality structure for the extension. This question is often referred to as the generalized Darlington synthesis problem for linear time-varying systems.

Original language	English
Pages (from-to)	26-43
Number of pages	18
Journal	Mathematics of Control, Signals, and Systems
Volume	16
Issue number	1
DOIs	https://doi.org/10.1007/s00498-003-0127-7
State	Published - 1 Jan 2003

Keywords

Causal linear systems
Darlington synthesis
Isometric dilations
Nest algebras
Time-varying linear
Unitary dilations

ASJC Scopus subject areas

Control and Systems Engineering
Signal Processing
Control and Optimization
Applied Mathematics

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10.1007/s00498-003-0127-7

Cite this

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KW - Nest algebras

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KW - Unitary dilations

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Orthogonal embeddings of linear time-varying systems

Abstract

Keywords

ASJC Scopus subject areas

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