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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…
math.OC2026
A Refinement in Čech Cohomology of Coron's Necessary Condition
Bryce Christopherson, Farhad Jafari
Coron established a homological obstruction to continuous feedback stabilization of nonlinear control systems with and , showin…
math.OC2020★ 1 cited
Feedback Stabilization of Nonlinear Control Systems by Composition Operators
Bryce A. Christopherson, Boris S. Mordukhovich, Farhad Jafari
Feedback asymptotic stabilization of control systems is an important topic of control theory and applications. Broadly speaking, if the system is locally asympto…