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Algebraic and Differential Topology of Robust Stability

Algebraic and Differential Topology of Robust Stability
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US$ 209.99
1. Prologue Part I: Simplicial approximations of algorithms 2. Robust multivariable Nyquist criterion 3. A basic topological problem 4. Simplicial approximation 5. Cartesian product of many uncertainties 6. Computational geometry 7. Piece-wise Nyquist map 8. Game of Hex algorithm 9. Simplicial algorithms Part II: Homology of robust stability 10. Homology of uncertainty and other spaces 11. Homology of crossover 12. Cohomology 13. Twisted Cartesian product of uncertainty 14. Spectral sequence of Nyquist map Part III: Homotopy of robust stability 15. Homotopy groups and sequences 16. Obstruction to extending the 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 Part IV: Differential topology of robust stability 21. Compact differentiable uncertainty manifolds 22. Singularity over stratified uncertainty space 23. Structural stability of crossover Part V: Algebraic geometry of crossover 24. Geometry of crossover 25. Geometry of stability boundary Part VI: Epilogue Part VII: Appendices
Oxford University Press; January 1997
625 pages; ISBN 9780195357684
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