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eess.SY2022★ 1 cited
Closed-Form Minkowski Sum Approximations for Efficient Optimization-Based Collision Avoidance
James Guthrie, Marin Kobilarov, Enrique Mallada
Motion planning methods for autonomous systems based on nonlinear programming offer great flexibility in incorporating various dynamics, objectives, and constraints. One limitation…
math.OC2022
Inner and Outer Approximations of Star-Convex Semialgebraic Sets
James Guthrie
We consider the problem of approximating a semialgebraic set with a sublevel-set of a polynomial function. In this setting, it is standard to seek a minimum volume outer approximat…