Algebraic and differential topology of robust stability:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York
Oxford University Press
1997
|
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references and index Cover -- Contents -- List of Figures -- List of Symbols -- 1 Prologue -- I58; SIMPLICIAL APPROXIMATION AND ALGORITHMS -- 2 Robust Multivariable Nyquist Criterion -- 1 Multivariable Nyquist Criterion -- 2 Robust Multivariable Nyquist Criterion -- 3 Uncertainty Space -- 4 34;Punctured34; Uncertainty Spaces -- 5 Compactification of Imaginary Axis -- 6 Horowitz Supertemplate Approach -- 7 Crossover -- 8 Mapping into Other Spaces -- 3 A Basic Topological Problem -- 346;1 The Boundary Problem -- 346;2 Topology for Boundary and Continuity -- 346;3 Mathematical Formulation of Boundary Problem -- 346;4 Example 40;Continuous Fraction Criterion41; -- 346;5 Example 40;Kharitonov41; -- 346;6 Example 40;Real Structured Singular Value41; -- 346;7 Example 40;Brouwer Domain Invariance41; -- 346;8 Example 40;Covering Map41; -- 346;9 Example 40;Holomorphic Mapping41; -- 346;10 Example 40;Proper Mapping41; -- 346;11 Example 40;Conformal Mapping41; -- 346;12 Examples 40;Horowitz41; -- - 346;13 Example 40;Functions on Polydisks41; -- 346;14 Several Complex Variables -- 346;15 Example 40;Plurisubharmonic functions41; -- 346;16 Example 40;Proper Holomorphic and Biholomorphic Maps41; -- 346;17 Example 40;Whitney39;s Root System41; -- 4 Simplicial Approximation -- 446;1 Simplexes44; Complexes44; and Polyhedra -- 446;2 Abstract Complexes -- 446;3 Alexandroff Theorem -- 446;4 Simplicial Approximation8212;Point Set Topology -- 446;5 Simplicial Map8212;Algebra -- 446;6 Computational Issues -- 446;7 Relative Simplicial Approximation -- 446;8 Cell Complexes and Cellular Maps -- 446;9 Historical Notes -- 5 Cartesian Product of Many Uncertainties -- 546;1 Prismatic Decomposition -- 546;2 Boundary of Cartesian Product -- 546;3 Simplicial Combinatorics of Cube -- 546;4 Q45;Triangulation -- 546;5 Combinatorial Equivalence -- 546;6 Flatness -- 6 Computational Geometry -- 646;1 Delaunay Triangulation of Template -- 646;2 Simplicial Edge Mapping -- 646;3 The SimplicialVIEW Software -- - 646;4 Numerical Stability44; Flatness44; and Conditioning -- 646;5 Making Map 40;Locally41; Simplicial -- 646;6 Procedure -- 7 Piecewise45;Linear Nyquist Map -- 746;1 Piecewise45;Linear Nyquist Map -- 746;2 From Piecewise45;Linear to Simplicial Map -- 746;3 Strict Linear Complementarity -- 8 Game of the Hex Algorithm -- 846;1 245;D Hex Board -- 846;2 n45;D Hex Board -- 846;3 Combinatorial Equivalence -- 846;4 Two45;Dimensional Hex Game Algorithm -- 846;5 Three45;Dimensional Hex Game Algorithm -- 846;6 Higher45;Dimensional Hex Games -- 9 Simplicial Algorithms -- 946;1 Simplicial Algorithms Over 245;D Uncertainty Space -- 946;2 Simplicial Algorithms Over 345;D Uncertainty Space -- 946;3 Relative Uncertainty Complex -- 946;4 Simplicial Labeling Map -- 946;5 Algorithm8212;Integer Search -- 946;6 Algorithm8212;Vector Labeling Search -- II58; HOMOLOGY OF ROBUST STABILITY -- 10 Homology of Uncertainty and O. In this book, two seemingly unrelated fields - algebraic topology and robust control - are brought together. The book develops algebraic/differential topology proceeding from an easily motivated control engineering problem, showing the relevance of advanced topological concepts and reconstructing the fundamental concepts of algebraic/differential topology from an application-oriented point of view. It is suitable for graduate students in engineering and/or applied mathematics, and academic researchers |
| Beschreibung: | 1 Online-Ressource (xlvi, 576 p.) |
| ISBN: | 0195093011 019535768X 1280527714 1429401230 9780195093018 9780195357684 9781280527715 9781429401234 |
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| 245 | 1 | 0 | |a Algebraic and differential topology of robust stability |c Edmond A. Jonckheere ; with 79 pictures, computer generated by Chih-Yung Cheng, Chung-Kuang Chu, and Murilo G. Coutinho |
| 264 | 1 | |a New York |b Oxford University Press |c 1997 | |
| 300 | |a 1 Online-Ressource (xlvi, 576 p.) | ||
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| 500 | |a Includes bibliographical references and index | ||
| 500 | |a Cover -- Contents -- List of Figures -- List of Symbols -- 1 Prologue -- I58; SIMPLICIAL APPROXIMATION AND ALGORITHMS -- 2 Robust Multivariable Nyquist Criterion -- 1 Multivariable Nyquist Criterion -- 2 Robust Multivariable Nyquist Criterion -- 3 Uncertainty Space -- 4 34;Punctured34; Uncertainty Spaces -- 5 Compactification of Imaginary Axis -- 6 Horowitz Supertemplate Approach -- 7 Crossover -- 8 Mapping into Other Spaces -- 3 A Basic Topological Problem -- 346;1 The Boundary Problem -- 346;2 Topology for Boundary and Continuity -- 346;3 Mathematical Formulation of Boundary Problem -- 346;4 Example 40;Continuous Fraction Criterion41; -- 346;5 Example 40;Kharitonov41; -- 346;6 Example 40;Real Structured Singular Value41; -- 346;7 Example 40;Brouwer Domain Invariance41; -- 346;8 Example 40;Covering Map41; -- 346;9 Example 40;Holomorphic Mapping41; -- 346;10 Example 40;Proper Mapping41; -- 346;11 Example 40;Conformal Mapping41; -- 346;12 Examples 40;Horowitz41; -- | ||
| 500 | |a - 346;13 Example 40;Functions on Polydisks41; -- 346;14 Several Complex Variables -- 346;15 Example 40;Plurisubharmonic functions41; -- 346;16 Example 40;Proper Holomorphic and Biholomorphic Maps41; -- 346;17 Example 40;Whitney39;s Root System41; -- 4 Simplicial Approximation -- 446;1 Simplexes44; Complexes44; and Polyhedra -- 446;2 Abstract Complexes -- 446;3 Alexandroff Theorem -- 446;4 Simplicial Approximation8212;Point Set Topology -- 446;5 Simplicial Map8212;Algebra -- 446;6 Computational Issues -- 446;7 Relative Simplicial Approximation -- 446;8 Cell Complexes and Cellular Maps -- 446;9 Historical Notes -- 5 Cartesian Product of Many Uncertainties -- 546;1 Prismatic Decomposition -- 546;2 Boundary of Cartesian Product -- 546;3 Simplicial Combinatorics of Cube -- 546;4 Q45;Triangulation -- 546;5 Combinatorial Equivalence -- 546;6 Flatness -- 6 Computational Geometry -- 646;1 Delaunay Triangulation of Template -- 646;2 Simplicial Edge Mapping -- 646;3 The SimplicialVIEW Software -- | ||
| 500 | |a - 646;4 Numerical Stability44; Flatness44; and Conditioning -- 646;5 Making Map 40;Locally41; Simplicial -- 646;6 Procedure -- 7 Piecewise45;Linear Nyquist Map -- 746;1 Piecewise45;Linear Nyquist Map -- 746;2 From Piecewise45;Linear to Simplicial Map -- 746;3 Strict Linear Complementarity -- 8 Game of the Hex Algorithm -- 846;1 245;D Hex Board -- 846;2 n45;D Hex Board -- 846;3 Combinatorial Equivalence -- 846;4 Two45;Dimensional Hex Game Algorithm -- 846;5 Three45;Dimensional Hex Game Algorithm -- 846;6 Higher45;Dimensional Hex Games -- 9 Simplicial Algorithms -- 946;1 Simplicial Algorithms Over 245;D Uncertainty Space -- 946;2 Simplicial Algorithms Over 345;D Uncertainty Space -- 946;3 Relative Uncertainty Complex -- 946;4 Simplicial Labeling Map -- 946;5 Algorithm8212;Integer Search -- 946;6 Algorithm8212;Vector Labeling Search -- II58; HOMOLOGY OF ROBUST STABILITY -- 10 Homology of Uncertainty and O. | ||
| 500 | |a In this book, two seemingly unrelated fields - algebraic topology and robust control - are brought together. The book develops algebraic/differential topology proceeding from an easily motivated control engineering problem, showing the relevance of advanced topological concepts and reconstructing the fundamental concepts of algebraic/differential topology from an application-oriented point of view. It is suitable for graduate students in engineering and/or applied mathematics, and academic researchers | ||
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Datensatz im Suchindex
| _version_ | 1804175510198026240 |
|---|---|
| any_adam_object | |
| author | Jonckheere, Edmond A. |
| author_facet | Jonckheere, Edmond A. |
| author_role | aut |
| author_sort | Jonckheere, Edmond A. |
| author_variant | e a j ea eaj |
| building | Verbundindex |
| bvnumber | BV043100581 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)560383147 (DE-599)BVBBV043100581 |
| dewey-full | 629.8/312/015142 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
| dewey-raw | 629.8/312/015142 |
| dewey-search | 629.8/312/015142 |
| dewey-sort | 3629.8 3312 515142 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| format | Electronic eBook |
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| id | DE-604.BV043100581 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:17:26Z |
| institution | BVB |
| isbn | 0195093011 019535768X 1280527714 1429401230 9780195093018 9780195357684 9781280527715 9781429401234 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028524773 |
| oclc_num | 560383147 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xlvi, 576 p.) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Oxford University Press |
| record_format | marc |
| spelling | Jonckheere, Edmond A. Verfasser aut Algebraic and differential topology of robust stability Edmond A. Jonckheere ; with 79 pictures, computer generated by Chih-Yung Cheng, Chung-Kuang Chu, and Murilo G. Coutinho New York Oxford University Press 1997 1 Online-Ressource (xlvi, 576 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index Cover -- Contents -- List of Figures -- List of Symbols -- 1 Prologue -- I58; SIMPLICIAL APPROXIMATION AND ALGORITHMS -- 2 Robust Multivariable Nyquist Criterion -- 1 Multivariable Nyquist Criterion -- 2 Robust Multivariable Nyquist Criterion -- 3 Uncertainty Space -- 4 34;Punctured34; Uncertainty Spaces -- 5 Compactification of Imaginary Axis -- 6 Horowitz Supertemplate Approach -- 7 Crossover -- 8 Mapping into Other Spaces -- 3 A Basic Topological Problem -- 346;1 The Boundary Problem -- 346;2 Topology for Boundary and Continuity -- 346;3 Mathematical Formulation of Boundary Problem -- 346;4 Example 40;Continuous Fraction Criterion41; -- 346;5 Example 40;Kharitonov41; -- 346;6 Example 40;Real Structured Singular Value41; -- 346;7 Example 40;Brouwer Domain Invariance41; -- 346;8 Example 40;Covering Map41; -- 346;9 Example 40;Holomorphic Mapping41; -- 346;10 Example 40;Proper Mapping41; -- 346;11 Example 40;Conformal Mapping41; -- 346;12 Examples 40;Horowitz41; -- - 346;13 Example 40;Functions on Polydisks41; -- 346;14 Several Complex Variables -- 346;15 Example 40;Plurisubharmonic functions41; -- 346;16 Example 40;Proper Holomorphic and Biholomorphic Maps41; -- 346;17 Example 40;Whitney39;s Root System41; -- 4 Simplicial Approximation -- 446;1 Simplexes44; Complexes44; and Polyhedra -- 446;2 Abstract Complexes -- 446;3 Alexandroff Theorem -- 446;4 Simplicial Approximation8212;Point Set Topology -- 446;5 Simplicial Map8212;Algebra -- 446;6 Computational Issues -- 446;7 Relative Simplicial Approximation -- 446;8 Cell Complexes and Cellular Maps -- 446;9 Historical Notes -- 5 Cartesian Product of Many Uncertainties -- 546;1 Prismatic Decomposition -- 546;2 Boundary of Cartesian Product -- 546;3 Simplicial Combinatorics of Cube -- 546;4 Q45;Triangulation -- 546;5 Combinatorial Equivalence -- 546;6 Flatness -- 6 Computational Geometry -- 646;1 Delaunay Triangulation of Template -- 646;2 Simplicial Edge Mapping -- 646;3 The SimplicialVIEW Software -- - 646;4 Numerical Stability44; Flatness44; and Conditioning -- 646;5 Making Map 40;Locally41; Simplicial -- 646;6 Procedure -- 7 Piecewise45;Linear Nyquist Map -- 746;1 Piecewise45;Linear Nyquist Map -- 746;2 From Piecewise45;Linear to Simplicial Map -- 746;3 Strict Linear Complementarity -- 8 Game of the Hex Algorithm -- 846;1 245;D Hex Board -- 846;2 n45;D Hex Board -- 846;3 Combinatorial Equivalence -- 846;4 Two45;Dimensional Hex Game Algorithm -- 846;5 Three45;Dimensional Hex Game Algorithm -- 846;6 Higher45;Dimensional Hex Games -- 9 Simplicial Algorithms -- 946;1 Simplicial Algorithms Over 245;D Uncertainty Space -- 946;2 Simplicial Algorithms Over 345;D Uncertainty Space -- 946;3 Relative Uncertainty Complex -- 946;4 Simplicial Labeling Map -- 946;5 Algorithm8212;Integer Search -- 946;6 Algorithm8212;Vector Labeling Search -- II58; HOMOLOGY OF ROBUST STABILITY -- 10 Homology of Uncertainty and O. In this book, two seemingly unrelated fields - algebraic topology and robust control - are brought together. The book develops algebraic/differential topology proceeding from an easily motivated control engineering problem, showing the relevance of advanced topological concepts and reconstructing the fundamental concepts of algebraic/differential topology from an application-oriented point of view. It is suitable for graduate students in engineering and/or applied mathematics, and academic researchers TECHNOLOGY & ENGINEERING / Automation bisacsh TECHNOLOGY & ENGINEERING / Robotics bisacsh Control theory Algebraic topology Differential topology Robuste Kontrolle (DE-588)4232797-0 gnd rswk-swf Differentialtopologie (DE-588)4012255-4 gnd rswk-swf Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf Algebraische Topologie (DE-588)4120861-4 s Robuste Kontrolle (DE-588)4232797-0 s 1\p DE-604 Differentialtopologie (DE-588)4012255-4 s 2\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=169017 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Jonckheere, Edmond A. Algebraic and differential topology of robust stability TECHNOLOGY & ENGINEERING / Automation bisacsh TECHNOLOGY & ENGINEERING / Robotics bisacsh Control theory Algebraic topology Differential topology Robuste Kontrolle (DE-588)4232797-0 gnd Differentialtopologie (DE-588)4012255-4 gnd Algebraische Topologie (DE-588)4120861-4 gnd |
| subject_GND | (DE-588)4232797-0 (DE-588)4012255-4 (DE-588)4120861-4 |
| title | Algebraic and differential topology of robust stability |
| title_auth | Algebraic and differential topology of robust stability |
| title_exact_search | Algebraic and differential topology of robust stability |
| title_full | Algebraic and differential topology of robust stability Edmond A. Jonckheere ; with 79 pictures, computer generated by Chih-Yung Cheng, Chung-Kuang Chu, and Murilo G. Coutinho |
| title_fullStr | Algebraic and differential topology of robust stability Edmond A. Jonckheere ; with 79 pictures, computer generated by Chih-Yung Cheng, Chung-Kuang Chu, and Murilo G. Coutinho |
| title_full_unstemmed | Algebraic and differential topology of robust stability Edmond A. Jonckheere ; with 79 pictures, computer generated by Chih-Yung Cheng, Chung-Kuang Chu, and Murilo G. Coutinho |
| title_short | Algebraic and differential topology of robust stability |
| title_sort | algebraic and differential topology of robust stability |
| topic | TECHNOLOGY & ENGINEERING / Automation bisacsh TECHNOLOGY & ENGINEERING / Robotics bisacsh Control theory Algebraic topology Differential topology Robuste Kontrolle (DE-588)4232797-0 gnd Differentialtopologie (DE-588)4012255-4 gnd Algebraische Topologie (DE-588)4120861-4 gnd |
| topic_facet | TECHNOLOGY & ENGINEERING / Automation TECHNOLOGY & ENGINEERING / Robotics Control theory Algebraic topology Differential topology Robuste Kontrolle Differentialtopologie Algebraische Topologie |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=169017 |
| work_keys_str_mv | AT jonckheereedmonda algebraicanddifferentialtopologyofrobuststability |