Non-asymptotic Identification of LTI Systems from a Single Trajectory.
作者： Samet Oymak , Necmiye Ozay
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摘要: … In our experimental setup, we pick a hyperparameter configuration of T,σw,σz and generate a single rollout of the system until some time t∞. For each T ≤ N ≤ t∞, we solve the system …
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harvard.edu参考文章(26)
Froilán M. Dopico, A Note on Sin Θ Theorems for Singular Subspace Variations Bit Numerical Mathematics. ,vol. 40, pp. 395- 403 ,(2000) , 10.1023/A:1022303426500
Peter van Overschee, Bart L. R. de Moor, Subspace Identification for Linear Systems: Theory - Implementation - Applications ,(2011)
Leslie Hogben, Handbook Of Linear Algebra ,(2010)
Mario Sznaier, Ricardo S. Sanchez-Pena, Robust Systems Theory and Applications ,(1998)
R.E. Skelton, Guojun Shi, The data-based LQG control problem conference on decision and control. ,vol. 2, pp. 1447- 1452 ,(1994) , 10.1109/CDC.1994.411242
Radoslaw Adamczak, A note on the Hanson-Wright inequality for random vectors with dependencies Electronic Communications in Probability. ,vol. 20, pp. 1- 13 ,(2015) , 10.1214/ECP.V20-3829
M S Fledderjohn, M S Holzel, H J Palanthandalam-Madapusi, R J Fuentes, D S Bernstein, A comparison of least squares algorithms for estimating Markov parameters advances in computing and communications. pp. 3735- 3740 ,(2010) , 10.1109/ACC.2010.5530673
Mark Rudelson, Roman Vershynin, Hanson-Wright inequality and sub-gaussian concentration Electronic Communications in Probability. ,vol. 18, pp. 1- 9 ,(2013) , 10.1214/ECP.V18-2865
Maryam Fazel, Ting Kei Pong, Defeng Sun, Paul Tseng, None, Hankel Matrix Rank Minimization with Applications to System Identification and Realization SIAM Journal on Matrix Analysis and Applications. ,vol. 34, pp. 946- 977 ,(2013) , 10.1137/110853996
Lingsheng Meng, Bing Zheng, The optimal perturbation bounds of the Moore–Penrose inverse under the Frobenius norm Linear Algebra and its Applications. ,vol. 432, pp. 956- 963 ,(2010) , 10.1016/J.LAA.2009.10.009