B. Ninness, H. Hjalmarsson, and F. Gustafsson, The fundamental role of general orthonormal bases in system identification, Technical Report EE9739, Department of Electrical and Computer Engineering, University of Newcastle, Australia. Submitted to IEEE Transactions on Automatic Control., (1997).  Home/Search   Document Details and Download   Summary   Related Articles   Check

.... n #z# # # # # # # (5) This uncertainty model description contains linear combinations of stable, proper rational transfer functions (basis functions) with coefficients lying in an ellipsoid. Basis functions have been used in system identification and its advantages have been discussed e.g. in [8]. In this case: y #t## n j#1 j y j #t## n j#1 j B j #z# a # #z #1 # b # #z #1 # # c#t# # n j#1 j h j #z #1 # # c#t #1## (6) where h j #z #1 ## h j #1##0arethen h truncated impulse responses corresponding to y j # The minimization of the ....

B. Ninness and H. Hjalmarsson, "The fundamental role of general orthonormal bases in system identification," IEEE Transactions on Automatic Control, vol. 44, no. 7, pp. 1384--1406, 1999.

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B. Ninness, H. Hjalmarsson, and F. Gustafsson, The fundamental role of general orthonormal bases in system identification, Technical Report EE9739, Department of Electrical and Computer Engineering, University of Newcastle, Australia. Submitted to IEEE Transactions on Automatic Control., (1997).

No context found.

B. NINNESS, H. HJALMARSSON, AND F. GUSTAFSSON, The fundamental role of general orthonormal bases in system identification, IEEE Transactions on Automatic Control, 44 (1999), pp. 1384--1406.

No context found.

B. NINNESS, H. HJALMARSSON, AND F. GUSTAFSSON, The fundamental role of general orthonormal bases in system identification, IEEE Transactions on Automatic Control, 44 (1999), pp. 1384--1406.

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B. NINNESS, H. HJALMARSSON, AND F. GUSTAFS- SON, The fundamental role of general orthonormal bases in system identification, Tech. Rep. EE9739, Dept. EE & CE, Uni. Newcastle, Australia. Accepted subject to revision, IEEE Trans. Auto. Cont, (1998).

No context found.

B. NINNESS, H. HJALMARSSON, AND F. GUSTAFSSON, The fundamental role of general orthonormal bases in system identification, IEEE Transactions on Automatic Control, 44 (1999), pp. 1384--1406.

No context found.

B. NINNESS, H. HJALMARSSON, AND F. GUSTAFSSON, The fundamental role of general orthonormal bases in system identification, IEEE Transactions on Automatic Control, 44 (1999), pp. 1384--1406.

No context found.

B. NINNESS, H. HJALMARSSON, AND F. GUSTAFSSON, The fundamental role of general orthonormal bases in system identification, IEEE Transactions on Automatic Control, 44 (1999), pp. 1384--1406.

No context found.

B. NINNESS, H. HJALMARSSON, AND F. GUSTAFSSON, The fundamental role of general orthonormal bases in system identification, IEEE Transactions on Automatic Control, 44 (1999), pp. 1384--1406.

....Fourier and Toeplitz results have been used by Ljung and co workers to analyse estimation using finite impulse response (FIR) and certain other rational model structures, the results of this paper can be used to analyse estimation using generalisations of these model structures. As shown in [37] and as commented on in x 7, these generalised structures are actually quite common since they implicitly arise whenever the common practice of data pre filtering is performed. There is much other work related to the results presented here. The study of the basis functions (5) dates back to ....

....these theoretical developments in hand, x 7 provides a very brief overview of how the results here may be applied in the study of certain system identification problems that were, in fact, the original motivation for this work. More detail on this application theme is given in the separate work [37]. Finally, x 8 provides a summary and concluding perspectives on the work presented here. 2 Completeness Properties The theme of this paper is to examine certain system theoretic issues pertaining to the use of the basis functions (5) for the purposes of describing discrete time dynamic systems. ....

[Article contains additional citation context not shown here]

B. Ninness, H. Hjalmarsson, and F. Gustafsson, The fundamental role of general orthonormal bases in system identification, Technical Report EE9739, Department of Electrical and Computer Engineering, University of Newcastle, Australia. Submitted to IEEE Transactions on Automatic Control., (1997).

....by Ljung and coauthors to analyze estimation 432 B. NINNESS, H. HJALMARSSON, AND F. GUSTAFFSON using finite impulse response (FIR) and certain other rational model structures, the results of this paper can be used to analyze estimation using generalizations of these model structures. As shown in [37] and as commented on in section 7, these generalized structures are actually quite common since they implicitly arise whenever the common practice of data prefiltering is performed. There is much other work related to the results presented here. The study of the basis functions (1.5) dates back to ....

....Given these theoretical developments, section 7 provides a very brief overview of how the results here may be applied in the study of certain system identification problems that were, in fact, the original motivation for this work. More detail on this application is provided in the separate work [37]. Finally, section 8 provides a summary and concluding perspectives on the work presented here. 2. Completeness properties. The theme of this paper is examination of certain system theoretic issues pertaining to the use of the basis functions (1.5) for the purposes of describing discrete time ....

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<F3.761e+05> B. Ninness, H. Hjalmarsson, and F.<F3.781e+05> Gustafsson,<F3.731e+05> The fundamental role of general orthonormal bases in system<F3.781e+05> identification, IEEE Trans. Automat. Control, to appear.

....Ljung and co workers to analyse estimation using finite impulse response (FIR) and certain other rational model structures, the 4 B. NINNESS AND H. HJALMARSSON and F. GUSTAFFSON results of this paper can be used to analyse estimation using generalisations of these model structures. As shown in [38] and as commented on in x 7, these generalised structures are actually quite common since they implicitly arise whenever the common practice of data pre filtering is performed. There is much other work related to the results presented here. The study of the basis functions (1.5) dates back to ....

....these theoretical developments in hand, x 7 provides a very brief overview of how the results here may be applied in the study of certain system identification problems that were, in fact, the original motivation for this work. More detail on this application theme is given in the separate work [38]. Finally, x 8 provides a summary and concluding perspectives on the work presented here. 2. Completeness Properties. The theme of this paper is to examine certain system theoretic issues pertaining to the use of the basis functions (1.5) for the purposes of describing discrete time dynamic ....

[Article contains additional citation context not shown here]

B. Ninness, H. Hjalmarsson, and F. Gustafsson, The fundamental role of general orthonormal bases in system identification, Technical Report EE97xx, Department of Electrical and Computer Engineering, University of Newcastle, Australia. Submitted to IEEE Transactions on Automatic Control., (1997).

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