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We study the control of a linear dynamical system with adversarial disturbances (as opposed to statistical noise).
A new approach to linear filtering and prediction problems
Rudolph Emil Kalman · 1960
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Optimal control and estimation
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Kemin Zhou, John Comstock Doyle, Keith Glover, et al · 1996
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System identification: Theory for the User
Lennart Ljung · 1998
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Dynamic programming and optimal control
Dimitri Bertsekas · 2005
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Nicolo Cesa-Bianchi and Gábor Lugosi · 2006
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Online markov decision processes
Eyal Even-Dar, Sham M Kakade, and Yishay Mansour · 2009
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Markov decision processes with arbitrary reward processes
Jia Yuan Yu, Shie Mannor, and Nahum Shimkin · 2009
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Regret bounds for the adaptive control of linear quadratic systems
Yasin Abbasi-Yadkori and Csaba Szepesvári · 2011
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Regret bounds for the adaptive control of linear quadratic systems
Yasin Abbasi-Yadkori and Csaba Szepesvári · 2011
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Online bandit learning against an adaptive adversary: from regret to policy regret
Raman Arora, Ofer Dekel, and Ambuj Tewari · 2012
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Oren Anava, Elad Hazan, and Shie Mannor · 2015
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Regret bounds for model-free linear quadratic control
Yasin Abbasi-Yadkori, Nevena Lazic, and Csaba Szepesvári · 2018
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Towards provable control for unknown linear dynamical systems
Sanjeev Arora, Elad Hazan, Holden Lee, Karan Singh, Cyril Zhang, and Yi Zhang · 2018
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Online linear quadratic control
Alon Cohen, Avinatan Hassidim, Tomer Koren, Nevena Lazic, Yishay Mansour, and Kunal Talwar · 2018
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Sarah Dean, Horia Mania, Nikolai Matni, Benjamin Recht, and Stephen Tu · 2018
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Global convergence of policy gradient methods for linearized control problems
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Moritz Hardt, Tengyu Ma, and Benjamin Recht · 2016
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Learning linear dynamical systems via spectral filtering
Elad Hazan, Karan Singh, and Cyril Zhang · 2017
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Maryam Fazel, Rong Ge, Sham M Kakade, and Mehran Mesbahi · 2018
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Spectral filtering for general linear dynamical systems
Elad Hazan, Holden Lee, Karan Singh, Cyril Zhang, and Yi Zhang · 2018
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Learning without mixing: Towards a sharp analysis of linear system identification
Max Simchowitz, Horia Mania, Stephen Tu, Michael I Jordan, and Benjamin Recht · 2018
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A system level approach to controller synthesis
Yuh-Shyang Wang, Nikolai Matni, and John C Doyle · 2019
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