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math.OC2021
Necessary conditions for feedback stabilization and safety
Matthew D. Kvalheim, Daniel E. Koditschek
Brockett's necessary condition yields a test to determine whether a system can be made to stabilize about some operating point via continuous, purely state-dependent feedback. For…
math.OC2015
On the Optimality of Napoleon Triangles
Omur Arslan, Daniel E. Koditschek
An elementary geometric construction known as Napoleon's theorem produces an equilateral triangle built on the sides of any initial triangle: the centroids of each equilateral tria…