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math.OC2025
On Zermelo's planar navigation problem for convex bodies, and implications for non-convex optimal routing
Matteo Della Rossa, Lorenzo Freddi, Mattia Pinatto
We study a generalized version of Zermelo's navigation problem where the set of admissible velocities is a general compact convex set, replacing the classical Euclidean ball. After…
math.OC2025
Pattern-preserving optimal control problems with increasing time horizon
Matteo Della Rossa, Lorenzo Freddi
We establish a general framework that guarantees the preservation of optimal control patterns as the time horizon increases and becomes unbounded. A concept of pattern-pres…