Computational Geometry Implementation of Topological Robust Control

Murilo Coutinho
Advisor: Edmond Jonckheere

NOTE: The PDF version does not have all the figures. I am having problems transforming from postscript to PDF.

Introduction:

Application Domains
Motivation
The SimplicialVIEW software package

Theoretical Foundation:

The Nyquist Stability Criterion
The Stability Crossover
The Boundary Behavior of the Nyquist Map
Simplicial Maps and Approximations
For more details on the theory, please see the book Algebraic and Differential Topology of Robust Stability, Oxford University Press, by Prof Edmund Jonckheere