| Description |
1 online resource (xlvi, 576 pages) : illustrations |
| Physical Medium |
polychrome |
| Description |
text file |
| Bibliography |
Includes bibliographical references and index. |
| Contents |
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. |
| Summary |
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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Control theory.
|
|
Control theory. |
|
Algebraic topology.
|
|
Algebraic topology. |
|
Differential topology.
|
|
Differential topology. |
| Genre/Form |
Electronic books.
|
|
Electronic books.
|
| Other Form: |
Print version: Jonckheere, Edmond A., 1954- Algebraic and differential topology of robust stability. New York : Oxford University Press, 1997 (DLC) 95049073 |
| ISBN |
1429401230 (electronic book) |
|
9781429401234 (electronic book) |
|
019535768X |
|
9780195357684 |
|
9780195093018 |
|
0195093011 |
|
1280527714 |
|
9781280527715 |
|
0195093011 |
|
0195093011 (cl) |
|
