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We propose an algorithm to actively estimate the parameters of a linear dynamical system.
Optimal input signals for parameter estimation in dynamic systems–survey and new results
Raman Mehra · 1974
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Synthesis of optimal inputs for multiinput-multioutput (mimo) systems with process noise part i: Frequenc y-domain synthesis part ii: Time-domain synthesis
Raman K Mehra · 1976
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Dynamic system identification: experiment design and data analysis
Graham Clifford Goodwin and Robert L Payne · 1977
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Identification of arx systems with non-stationary inputs—asymptotic analysis with application to adaptive input design
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Identification and the information matrix: how to get just sufficiently rich?
Michel Gevers, Alexandre S Bazanella, Xavier Bombois, and Ljubisa Miskovic · 2009
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Input design for system identification via convex relaxation
Ian R Manchester · 2010
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Regret bounds for the adaptive control of linear quadratic systems
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Improved algorithms for linear stochastic bandits
Yasin Abbasi-Yadkori, David Pal, and Csaba Szepesvari · 2011
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Optimal experiment design for open and closed-loop system identification
Xavier Bombois, Michel Gevers, Roland Hildebrand, and Gabriel Solari · 2011
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Robustness in experiment design
Cristian R Rojas, Juan-Carlos Aguero, James S Welsh, Graham C Goodwin, and Arie Feuer · 2011
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Matrix analysis
Roger A Horn and Charles R Johnson · 2012
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Application-oriented finite sample experiment design: A semidefinite relaxation approach
Dimitrios Katselis, Cristian R Rojas, Håkan Hjalmarsson, and Mats Bengtsson · 2012
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Moritz Hardt, Tengyu Ma, and Benjamin Recht · 2018
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Spectral filtering for general linear dynamical systems
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How fast can linear dynamical systems be learned?
Tuhin Sarkar and Alexander Rakhlin · 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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Learning linear-quadratic regulators efficiently with only T \sqrt{T} regret
Alon Cohen, Tomer Koren, and Yishay Mansour · 2019
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