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math.OC2022
Model-Free Optimization on Smooth Compact Manifolds: Overcoming Topological Obstructions using Zeroth-Order Hybrid Dynamics
Daniel E. Ochoa, Jorge I. Poveda
Smooth autonomous dynamical systems modeled by ordinary differential equations (ODEs) cannot robustly and globally stabilize a point in compact, boundaryless manifolds. This obstru…
math.OC2022
Accelerated Continuous-Time Approximate Dynamic Programming via Data-Assisted Hybrid Control
Daniel E. Ochoa, Jorge I. Poveda
We introduce a new closed-loop architecture for the online solution of approximate optimal control problems in the context of continuous-time systems. Specifically, we introduce th…
math.OC2022
High-Performance Optimal Incentive-Seeking in Transactive Control for Traffic Congestion
Daniel E. Ochoa, Jorge I. Poveda
Traffic congestion has dire economic and social impacts in modern metropolitan areas. To address this problem, in this paper we introduce a novel type of model-free transactive con…