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Continuous-time stable and unstable system modelling with orthonormal basis functions

✍ Scribed by Hüseyin Akçay

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
185 KB
Volume
10
Category
Article
ISSN
1049-8923

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✦ Synopsis

In this paper, model sets for linear time-invariant continuous-time systems which are spanned by "xed-pole orthonormal bases are investigated. The obtained model sets are shown to be complete in the Lebesque spaces ¸N (1(p(R) and in C, the space of complex-valued functions that are continuous on the extended imaginary axis. The ¸N norm error bounds for estimating systems in ¸N by the partial sums of the Fourier series formed by the orthonormal functions are computed for the case 1(p(R. Some inequalities on the l N means of the Fourier coe$cients are also derived. These results have application in estimation and model reduction of stable and unstable continuous-time linear time-invariant systems. A numerical example illustrates the use of the basis functions for the approximation of unstable in"nite-dimensional dynamics.

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