Structural Reformulations in System Identification.
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Superior document: | Linköping Studies in Science and Technology. Dissertations Series ; v.1475 |
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Place / Publishing House: | Linköping : : Linkopings Universitet,, 2012. {copy}2012. |
Year of Publication: | 2012 |
Edition: | 1st ed. |
Language: | English |
Series: | Linköping Studies in Science and Technology. Dissertations Series
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Physical Description: | 1 online resource (183 pages) |
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Lyzell, Christian. Structural Reformulations in System Identification. 1st ed. Linköping : Linkopings Universitet, 2012. {copy}2012. 1 online resource (183 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Linköping Studies in Science and Technology. Dissertations Series ; v.1475 Intro -- Abstract -- Populärvetenskaplig sammanfattning -- Acknowledgments -- Contents -- Notation -- I Background -- 1 Introduction -- 1.1 Research Motivation -- 1.2 Outline of the Thesis -- 1.3 Contributions -- 2 System Identification -- 2.1 Introduction -- 2.2 Model Structures -- 2.2.1 Linear Time-Invariant -- 2.2.2 Nonlinear Time-Invariant -- 2.3 Instrumental Variables -- 2.4 Subspace Identification -- 2.4.1 Discrete Time -- 2.4.2 Continuous Time -- 2.5 An Algebraic Approach -- 2.6 Model Validation -- II Dimension Reduction -- 3 Introduction to Dimension Reduction -- 3.1 Introduction -- 3.2 System Identification Applications -- 3.3 Direct Regression Approaches -- 3.4 Inverse Regression Approaches -- 3.5 Summary -- 4 Inverse Regression for the Wiener Class of Systems -- 4.1 Introduction -- 4.2 Inverse Regression -- 4.3 Statistical Inference -- 4.4 Consistency Analysis -- 4.5 Local Linear Models -- 4.6 Simulations -- 4.6.1 Wiener Systems with a Single Branch -- 4.6.2 Wiener Systems with Multiple Branches -- 4.7 Concluding Remarks -- 4.A Complements -- 5 A Convex Relaxation of a Dimension Reduction Problem -- 5.1 Introduction -- 5.2 Minimum Average Variance Estimation -- 5.2.1 Design Choices -- 5.2.2 Dimension estimation -- 5.3 A Reformulation -- 5.4 A Convex Heuristic -- 5.5 Simulations -- 5.5.1 A Nonlinear Time Series -- 5.5.2 Wiener System with a Single Branch -- 5.5.3 Wiener System with Multiple Branches -- 5.6 Concluding Remarks -- 5.A The Adjoint Operator -- 5.B An Inverse Regression Formulation -- III Subspace Identification -- 6 Utilizing Structure Information in Subspace Identification -- 6.1 Introduction -- 6.2 OE Models -- 6.2.1 Discrete Time -- 6.2.2 Continuous Time -- 6.3 ARMAX Models -- 6.4 Special Gray-Box Models -- 6.5 Conclusions -- 7 Subspace Identification via Dimension Reduction -- 7.1 Introduction -- 7.2 Estimation Procedure. 7.3 Simulations -- 7.4 Conclusions -- IV Difference Algebra -- 8 Difference algebra and system identification -- 8.1 Introduction -- 8.2 Algebraic concepts -- 8.2.1 Signal shifts -- 8.2.2 Polynomials -- 8.2.3 Sets of polynomials -- 8.3 Identifiability -- 8.4 A pragmatic approach -- 8.5 Conclusions -- 9 Conclusions -- Bibliography. Description based on publisher supplied metadata and other sources. Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. Electronic books. Print version: Lyzell, Christian Structural Reformulations in System Identification Linköping : Linkopings Universitet,c2012 ProQuest (Firm) Linköping Studies in Science and Technology. Dissertations Series https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=30401263 Click to View |
language |
English |
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author |
Lyzell, Christian. |
spellingShingle |
Lyzell, Christian. Structural Reformulations in System Identification. Linköping Studies in Science and Technology. Dissertations Series ; Intro -- Abstract -- Populärvetenskaplig sammanfattning -- Acknowledgments -- Contents -- Notation -- I Background -- 1 Introduction -- 1.1 Research Motivation -- 1.2 Outline of the Thesis -- 1.3 Contributions -- 2 System Identification -- 2.1 Introduction -- 2.2 Model Structures -- 2.2.1 Linear Time-Invariant -- 2.2.2 Nonlinear Time-Invariant -- 2.3 Instrumental Variables -- 2.4 Subspace Identification -- 2.4.1 Discrete Time -- 2.4.2 Continuous Time -- 2.5 An Algebraic Approach -- 2.6 Model Validation -- II Dimension Reduction -- 3 Introduction to Dimension Reduction -- 3.1 Introduction -- 3.2 System Identification Applications -- 3.3 Direct Regression Approaches -- 3.4 Inverse Regression Approaches -- 3.5 Summary -- 4 Inverse Regression for the Wiener Class of Systems -- 4.1 Introduction -- 4.2 Inverse Regression -- 4.3 Statistical Inference -- 4.4 Consistency Analysis -- 4.5 Local Linear Models -- 4.6 Simulations -- 4.6.1 Wiener Systems with a Single Branch -- 4.6.2 Wiener Systems with Multiple Branches -- 4.7 Concluding Remarks -- 4.A Complements -- 5 A Convex Relaxation of a Dimension Reduction Problem -- 5.1 Introduction -- 5.2 Minimum Average Variance Estimation -- 5.2.1 Design Choices -- 5.2.2 Dimension estimation -- 5.3 A Reformulation -- 5.4 A Convex Heuristic -- 5.5 Simulations -- 5.5.1 A Nonlinear Time Series -- 5.5.2 Wiener System with a Single Branch -- 5.5.3 Wiener System with Multiple Branches -- 5.6 Concluding Remarks -- 5.A The Adjoint Operator -- 5.B An Inverse Regression Formulation -- III Subspace Identification -- 6 Utilizing Structure Information in Subspace Identification -- 6.1 Introduction -- 6.2 OE Models -- 6.2.1 Discrete Time -- 6.2.2 Continuous Time -- 6.3 ARMAX Models -- 6.4 Special Gray-Box Models -- 6.5 Conclusions -- 7 Subspace Identification via Dimension Reduction -- 7.1 Introduction -- 7.2 Estimation Procedure. 7.3 Simulations -- 7.4 Conclusions -- IV Difference Algebra -- 8 Difference algebra and system identification -- 8.1 Introduction -- 8.2 Algebraic concepts -- 8.2.1 Signal shifts -- 8.2.2 Polynomials -- 8.2.3 Sets of polynomials -- 8.3 Identifiability -- 8.4 A pragmatic approach -- 8.5 Conclusions -- 9 Conclusions -- Bibliography. |
author_facet |
Lyzell, Christian. |
author_variant |
c l cl |
author_sort |
Lyzell, Christian. |
title |
Structural Reformulations in System Identification. |
title_full |
Structural Reformulations in System Identification. |
title_fullStr |
Structural Reformulations in System Identification. |
title_full_unstemmed |
Structural Reformulations in System Identification. |
title_auth |
Structural Reformulations in System Identification. |
title_new |
Structural Reformulations in System Identification. |
title_sort |
structural reformulations in system identification. |
series |
Linköping Studies in Science and Technology. Dissertations Series ; |
series2 |
Linköping Studies in Science and Technology. Dissertations Series ; |
publisher |
Linkopings Universitet, |
publishDate |
2012 |
physical |
1 online resource (183 pages) |
edition |
1st ed. |
contents |
Intro -- Abstract -- Populärvetenskaplig sammanfattning -- Acknowledgments -- Contents -- Notation -- I Background -- 1 Introduction -- 1.1 Research Motivation -- 1.2 Outline of the Thesis -- 1.3 Contributions -- 2 System Identification -- 2.1 Introduction -- 2.2 Model Structures -- 2.2.1 Linear Time-Invariant -- 2.2.2 Nonlinear Time-Invariant -- 2.3 Instrumental Variables -- 2.4 Subspace Identification -- 2.4.1 Discrete Time -- 2.4.2 Continuous Time -- 2.5 An Algebraic Approach -- 2.6 Model Validation -- II Dimension Reduction -- 3 Introduction to Dimension Reduction -- 3.1 Introduction -- 3.2 System Identification Applications -- 3.3 Direct Regression Approaches -- 3.4 Inverse Regression Approaches -- 3.5 Summary -- 4 Inverse Regression for the Wiener Class of Systems -- 4.1 Introduction -- 4.2 Inverse Regression -- 4.3 Statistical Inference -- 4.4 Consistency Analysis -- 4.5 Local Linear Models -- 4.6 Simulations -- 4.6.1 Wiener Systems with a Single Branch -- 4.6.2 Wiener Systems with Multiple Branches -- 4.7 Concluding Remarks -- 4.A Complements -- 5 A Convex Relaxation of a Dimension Reduction Problem -- 5.1 Introduction -- 5.2 Minimum Average Variance Estimation -- 5.2.1 Design Choices -- 5.2.2 Dimension estimation -- 5.3 A Reformulation -- 5.4 A Convex Heuristic -- 5.5 Simulations -- 5.5.1 A Nonlinear Time Series -- 5.5.2 Wiener System with a Single Branch -- 5.5.3 Wiener System with Multiple Branches -- 5.6 Concluding Remarks -- 5.A The Adjoint Operator -- 5.B An Inverse Regression Formulation -- III Subspace Identification -- 6 Utilizing Structure Information in Subspace Identification -- 6.1 Introduction -- 6.2 OE Models -- 6.2.1 Discrete Time -- 6.2.2 Continuous Time -- 6.3 ARMAX Models -- 6.4 Special Gray-Box Models -- 6.5 Conclusions -- 7 Subspace Identification via Dimension Reduction -- 7.1 Introduction -- 7.2 Estimation Procedure. 7.3 Simulations -- 7.4 Conclusions -- IV Difference Algebra -- 8 Difference algebra and system identification -- 8.1 Introduction -- 8.2 Algebraic concepts -- 8.2.1 Signal shifts -- 8.2.2 Polynomials -- 8.2.3 Sets of polynomials -- 8.3 Identifiability -- 8.4 A pragmatic approach -- 8.5 Conclusions -- 9 Conclusions -- Bibliography. |
isbn |
9789175198002 |
genre |
Electronic books. |
genre_facet |
Electronic books. |
url |
https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=30401263 |
illustrated |
Not Illustrated |
oclc_num |
1372396985 |
work_keys_str_mv |
AT lyzellchristian structuralreformulationsinsystemidentification |
status_str |
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ids_txt_mv |
(MiAaPQ)50030401263 (Au-PeEL)EBL30401263 (OCoLC)1372396985 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Linköping Studies in Science and Technology. Dissertations Series ; v.1475 |
is_hierarchy_title |
Structural Reformulations in System Identification. |
container_title |
Linköping Studies in Science and Technology. Dissertations Series ; v.1475 |
marc_error |
Info : MARC8 translation shorter than ISO-8859-1, choosing MARC8. --- [ 856 : z ] |
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