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This paper revisits the classical Linear Quadratic Gaussian (LQG) control from a modern optimization perspective.
Theory and application of the z-transform method
Eliahu Ibraham Jury · 1964
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Pole placement using dynamic compensators
F. Brasch and J. R. Pearson · 1970
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Modern Wiener-Hopf design of optimal controllers–Part II: The multivariable case
Dante Youla, Hamid Jabr, and Jr Bongiorno · 1976
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Guaranteed margins for LQG regulators
John C. Doyle · 1978
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Linear Matrix Inequalities in System and Control Theory
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Dimitri P Bertsekas · 1995
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Kemin Zhou, John C. Doyle, and Keith Glover · 1996
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Dimitri P Bertsekas · 1997
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John Milnor and David W. Weaver · 1997
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Lee H Keel and Shankar P Bhattacharyya · 1999
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Convergence of the iterates of descent methods for analytic cost functions
Pierre-Antoine Absil, Robert Mahony, and Benjamin Andrews · 2005
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John M. Lee · 2013
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Non-asymptotic analysis of robust control from coarse-grained identification
Stephen Tu, Ross Boczar, Andrew Packard, and Benjamin Recht · 2017
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Chi Jin, Rong Ge, Praneeth Netrapalli, Sham M. Kakade, and Michael I. Jordan · 2017
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Global convergence of policy gradient methods for the linear quadratic regulator
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Non-asymptotic identification of lti systems from a single trajectory
Samet Oymak and Necmiye Ozay · 2019
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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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An input–output parametrization of stabilizing controllers: amidst Youla and system level synthesis
Luca Furieri, Yang Zheng, Antonis Papachristodoulou, and Maryam Kamgarpour · 2019
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First-order methods almost always avoid strict saddle points
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Derivative-free methods for policy optimization: Guarantees for linear quadratic systems
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Jason D. Lee, Ioannis Panageas, Georgios Piliouras, Max Simchowitz, Michael I. Jordan, and Benjamin Recht · 2019
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Exact asymptotics for linear quadratic adaptive control
Feicheng Wang and Lucas Janson · 2020
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Sample complexity of linear quadratic gaussian (LQG) control for output feedback systems
Yang Zheng, Luca Furieri, Maryam Kamgarpour, and Na Li · 2020
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Improper learning for non-stochastic control
Max Simchowitz, Karan Singh, and Elad Hazan · 2020
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Connectivity properties of the set of stabilizing static decentralized controllers
Han Feng and Javad Lavaei · 2020
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From symmetry to geometry: Tractable nonconvex problems
Yuqian Zhang, Qing Qu, and John Wright · 2020
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Learning the globally optimal distributed LQ regulator
Luca Furieri, Yang Zheng, and Maryam Kamgarpour · 2020
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Optimizing static linear feedback: Gradient method
Ilyas Fatkhullin and Boris Polyak · 2020
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Logarithmic regret bound in partially observable linear dynamical systems
Sahin Lale, Kamyar Azizzadenesheli, Babak Hassibi, and Anima Anandkumar · 2020
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Regret bound of adaptive control in linear quadratic gaussian (lqg) systems
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Non-asymptotic identification of linear dynamical systems using multiple trajectories
Yang Zheng and Na Li · 2020
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On the equivalence of Youla, system-level and input-output parameterizations
Y. Zheng, L. Furieri, A. Papachristodoulou, N. Li, and M. Kamgarpour · 2021
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