Čech cohomology 1feedback stabilization 1nonlinear control 1topological obstruction 1Vietoris-Begle theorem 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.OC2026
A Refinement in Äech Cohomology of Coron's Necessary Condition
Bryce Christopherson, Farhad Jafari
The paper strengthens Coron's topological obstruction for continuous feedback stabilization of nonlinear control systems by proving that a certain subset must be a Čech cohomology…
math.OC2026
Brockett Openness Profiles and Gain-Limited Feedback Stabilization
Bryce Christopherson, Farhad Jafari
Brockett's necessary condition asserts that a continuously stabilizable nonlinear control system must have a vector field that is open at the equilibrium. We show that the quantita…