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20112023
most citedFinite-Time Analysis of Asynchronous Stochastic Approximation and -Learning

24 citations · 114 across the 29 of their papers we have counts for

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14 papers · 1 filter

math.OC2023

Online Stabilization of Unknown Linear Time-Varying Systems

Jing Yu, Varun Gupta, Adam Wierman

This paper studies the problem of online stabilization of an unknown discrete-time linear time-varying (LTV) system under bounded non-stochastic (potentially adversarial) disturban…

math.OC20221 cited

Bounded-Regret MPC via Perturbation Analysis: Prediction Error, Constraints, and Nonlinearity

Yiheng Lin, Yang Hu, Guannan Qu +2

We study Model Predictive Control (MPC) and propose a general analysis pipeline to bound its dynamic regret. The pipeline first requires deriving a perturbation bound for a finite-…

math.OC20224 cited

On the Sample Complexity of Stabilizing LTI Systems on a Single Trajectory

Yang Hu, Adam Wierman, Guannan Qu

Stabilizing an unknown dynamical system is one of the central problems in control theory. In this paper, we study the sample complexity of the learn-to-stabilize problem in Linear…

math.OC202110 cited

Perturbation-based Regret Analysis of Predictive Control in Linear Time Varying Systems

Yiheng Lin, Yang Hu, Haoyuan Sun +3

We study predictive control in a setting where the dynamics are time-varying and linear, and the costs are time-varying and well-conditioned. At each time step, the controller rece…

math.OC2021

A Spectral Representation of Power Systems with Applications to Adaptive Grid Partitioning and Cascading Failure Localization

Alessandro Zocca, Chen Liang, Linqi Guo +2

Transmission line failures in power systems propagate and cascade non-locally. This well-known yet counter-intuitive feature makes it even more challenging to optimally and reliabl…

math.OC2021

Stable Online Control of Linear Time-Varying Systems

Guannan Qu, Yuanyuan Shi, Sahin Lale +2

Linear time-varying (LTV) systems are widely used for modeling real-world dynamical systems due to their generality and simplicity. Providing stability guarantees for LTV systems i…