A Survey of Simplicial Algorithms and Topology in Robust Stability
EDMOND A. JONCKHEERE, Chih‐Yung Cheng, M.G. Coutinho Neto · 2005
The proposed approach is aimed at achieving a deeper understanding of both the topological and computational aspects of robust closed-loop stability of feedback systems under uncertain parameters. Three different directions of attack of the problem, all inspired from algebraic and differential topology, are proposed - the Simplicial Approximation Theorem, the Morse Theory, and Obstruction Theory.