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- W1490952497 abstract "This paper explores the implications of assuming a system to be smoothly time-varying for least squares based system identification, as well as conditions under which least squares solutions are smoothly time-varying. By requiring persistent excitation and that the order of the model be chosen appropriately, using a standard singular value based scheme, it is shown that the subspace tracking, least squares and total least squares problems all yield smooth solutions. Specific tracking bounds are given, which-show that any smooth system which realizes the input/output relation with small error must be close to the least squares solution. This indicates that if smoothness is desired, the least squares estimate is a reasonable choice. The underlying matrix problem has Toeplitz structure which can be exploited in the algorithmic implementation." @default.
- W1490952497 created "2016-06-24" @default.
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- W1490952497 date "2005-08-25" @default.
- W1490952497 modified "2023-09-23" @default.
- W1490952497 title "Smoothly time varying systems and Toeplitz least squares problems" @default.
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- W1490952497 doi "https://doi.org/10.1109/acc.1994.735085" @default.
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