Name: Algebraic and Differential Topology of Robust Stability By Edmond A. Jonckheere (Department of Electrical Engineering Systems, Department of Electrical Engineering Systems, University of Southern California, USA)
SKU: 9780195093018
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Algebraic and Differential Topology of Robust Stability Summary

Algebraic and Differential Topology of Robust Stability by Edmond A. Jonckheere (Department of Electrical Engineering Systems, Department of Electrical Engineering Systems, University of Southern California, USA)

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.

Algebraic and Differential Topology of Robust Stability Reviews

"The opening sentence of the monograph reads as follows: 'In this book, two seemingly unrelated fields of intellectual endeavor--algebraic/differential topology and robust control--are brought together.' Indeed, there are probably just a few control engineers who are familiar with the modern concepts of algebraic and differential topology; others need strong motivation to learn these disciplines. The book under review attempts to convince experts in robustness analysis to do this and to provide the needed material to learn. . . . The book consists of 7 parts, which contain 26 chapters and 4 appendices. . . . [T]his book is a serious attempt to develop new approaches to robust stability. It will inspire research in control based on modern mathematics."--Mathematical Reviews "The opening sentence of the monograph reads as follows: 'In this book, two seemingly unrelated fields of intellectual endeavor--algebraic/differential topology and robust control--are brought together.' Indeed, there are probably just a few control engineers who are familiar with the modern concepts of algebraic and differential topology; others need strong motivation to learn these disciplines. The book under review attempts to convince experts in robustness analysis to do this and to provide the needed material to learn. . . . The book consists of 7 parts, which contain 26 chapters and 4 appendices. . . . [T]his book is a serious attempt to develop new approaches to robust stability. It will inspire research in control based on modern mathematics."--Mathematical Reviews

I. SIMPLICIAL APPROXIMATION AND ALGORITHMS ; 1. Prologue ; 2. Robust Multivariable Nyquist Criterion ; 3. A Basic Topological Problem ; 4. Simplicial Approximation ; 5. Cartesian Product of Uncertainties ; 6. Computational Geometry ; 7. Piecewise Linear Nyquist Map ; 8. Game of Hex Algorithm ; 9. Simplicial Algorithms ; II. HOMOLOGY OF ROBUST STABILITY ; 10. Homology of Uncertainty and Other Spaces ; 11. Homology of Crossover ; 12. Cohomology ; 13. Twisted Cartesian Product of Uncertainties ; 14. Spectral Sequence of Nyquist Map ; III. HOMOTOPY OF ROBUST STABILITY ; 15. Homotopy Groups and Sequences ; 16. Obstruction to Extending Nyquist Map ; 17. Homotopy Classification of Nyquist Maps ; 18. Brouwer Degree of Nyquist Map ; 19. Homotopy of Matrix Return Difference Map ; 20. K-Theory of Robust Stabilization ; IV. DIFFERENTIAL TOPOLOGY OF ROBUST STABILITY ; 21. Compact Differentiable Uncertainty Manifolds ; 22. Singularity Over Stratified Uncertainty Space ; 23. Structural Stability of Crossover ; V. ALGEBRAIC GEOMETRY OF CROSSOVER ; 24. Geometry of Crossover ; 25. Geopmetry of Stability Boundary ; Epilogue ; Appendices

Additional information

Sku

NPB9780195093018

ISBN 13

9780195093018

ISBN 10

0195093011

Title

Algebraic and Differential Topology of Robust Stability by Edmond A. Jonckheere (Department of Electrical Engineering Systems, Department of Electrical Engineering Systems, University of Southern California, USA)

Author

Edmond A. Jonckheere (Department of Electrical Engineering Systems, Department of Electrical Engineering Systems, University of Southern California, USA)

Condition

New

Binding type

Hardback

Publisher

Oxford University Press Inc

Year published

1997-06-26

Number of pages

624

Prizes

N/A

Cover note

Book picture is for illustrative purposes only, actual binding, cover or edition may vary.

Note

This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Algebraic and Differential Topology of Robust Stability Edmond A. Jonckheere (Department of Electrical Engineering Systems, Department of Electrical Engineering Systems, University of Southern California, USA)

Algebraic and Differential Topology of Robust Stability by Edmond A. Jonckheere (Department of Electrical Engineering Systems, Department of Electrical Engineering Systems, University of Southern California, USA)

Summary

Algebraic and Differential Topology of Robust Stability Summary

Algebraic and Differential Topology of Robust Stability by Edmond A. Jonckheere (Department of Electrical Engineering Systems, Department of Electrical Engineering Systems, University of Southern California, USA)

Algebraic and Differential Topology of Robust Stability Reviews

Table of Contents

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Customer Reviews - Algebraic and Differential Topology of Robust Stability