# Adaptive Regret for Control of Time-Varying Dynamics

@article{Gradu2020AdaptiveRF, title={Adaptive Regret for Control of Time-Varying Dynamics}, author={Paula Gradu and Elad Hazan and Edgar Minasyan}, journal={ArXiv}, year={2020}, volume={abs/2007.04393} }

We consider regret minimization for online control with time-varying linear dynamical systems. The metric of performance we study is adaptive policy regret, or regret compared to the best policy on {\it any interval in time}. We give an efficient algorithm that attains first-order adaptive regret guarantees for the setting of online convex optimization with memory. We also show that these first-order bounds are nearly tight. This algorithm is then used to derive a controller with adaptive…

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