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Algebraic and differential topology of robust stability /
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 th...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Oxford University Press,
1997.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Ma 4500 | ||
|---|---|---|---|
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| 003 | OCoLC | ||
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| 049 | |a UAMI | ||
| 100 | 1 | |a Jonckheere, Edmond A., |d 1954- | |
| 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. |
| 260 | |a New York : |b Oxford University Press, |c 1997. | ||
| 300 | |a 1 online resource (xlvi, 576 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file |2 rda | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |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; -- 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. | |
| 520 | |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. | ||
| 588 | 0 | |a Print version record. | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Control theory. | |
| 650 | 0 | |a Algebraic topology. | |
| 650 | 0 | |a Differential topology. | |
| 650 | 6 | |a Théorie de la commande. | |
| 650 | 6 | |a Topologie algébrique. | |
| 650 | 6 | |a Topologie différentielle. | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING |x Automation. |2 bisacsh | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING |x Robotics. |2 bisacsh | |
| 650 | 7 | |a Algebraic topology |2 fast | |
| 650 | 7 | |a Control theory |2 fast | |
| 650 | 7 | |a Differential topology |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Jonckheere, Edmond A., 1954- |t Algebraic and differential topology of robust stability. |d New York : Oxford University Press, 1997 |w (DLC) 95049073 |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=169017 |z Texto completo |
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