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We address the problem of learning the parameters of a stable linear time invariant (LTI) system or linear dynamical system (LDS) with unknown latent space dimension, or order, from a single time--series of noisy input-output data.
Effective construction of linear state-variable models from input/output functions
BL Ho and Rudolph E Kalman · 1966
Earlier work this paper cites.
Perturbation bounds in connection with singular value decomposition
Per-Åke Wedin · 1972
Earlier work this paper cites.
Selection of the order of an autoregressive model by akaike’s information criterion
Ritei Shibata · 1976
Earlier work this paper cites.
Maximum likelihood from incomplete data via the em algorithm
Arthur P Dempster, Nan M Laird, and Donald B Rubin · 1977
Earlier work this paper cites.
Optimal hankel-norm model reductions: Multivariable systems
S Kung and D Lin · 1981
Earlier work this paper cites.
All optimal hankel-norm approximations of linear multivariable systems and their l ∞ l_{\infty} -error bounds
Keith Glover · 1984
Earlier work this paper cites.
Model reduction: a tutorial on hankel-norm methods and lower bounds on l2 errors
Keith Glover · 1987
Earlier work this paper cites.
System identification: theory for the user
Lennart Ljung · 1987
Earlier work this paper cites.
Weak convergence
Aad W Van Der Vaart and Jon A Wellner · 1996
Earlier work this paper cites.
Robust and optimal control, 1996
K Zhou, JC Doyle, and K Glover · 1996
Earlier work this paper cites.
Nonparametric estimation of transfer functions: rates of convergence and adaptation
Alexander Goldenshluger · 1998
Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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