Brief Synthesis of complete rational orthonormal bases with prescribed asymptotic order

Authors:
HüSeyin AkçAy
Affiliations:
Department of Electrical and Electronics Engineering, Anadolu University, 26470 Eskişehir,Turkey
Venue:
Automatica (Journal of IFAC)
Year:
2001

Citing 3
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Abstract

In this paper, a method to construct complete rational orthonormal model sets with prescribed asymptotic order is presented for continuous-time systems. Two special cases that illustrate the application of the method are studied. In the first case, this method is shown to produce the generalized Laguerre functions which form a complete model set for H"2 and have asymptotic order two. In both cases, this method is equivalent to calculating Toeplitz determinants generated by a rational function. The latter problem is reduced to finding solution of a linear finite-difference equation.