Cita:
Journal of Mathematical Analysis and Applications, 2000, vol. 244, n. 1, p. 147-168
ISSN:
0022-247X
DOI:
10.1006/jmaa.1999.6698
Patrocinador:
The research by first author (A.R.) was carried under a grant from the German Academic Exchange Service (DAAD). The research by second author (G.L.L.) was partially carried out while the author was visiting Institut für Dynamische Systeme, University of Bremen, for which he is grateful.
Rational interpolants with prescribed poles are used to approximate holomorphic functions on the closure of their region of analyticity under natural assumptions of their properties on the boundary. The transfer functions of some infinite dimensional dynamicalRational interpolants with prescribed poles are used to approximate holomorphic functions on the closure of their region of analyticity under natural assumptions of their properties on the boundary. The transfer functions of some infinite dimensional dynamical systems of interest in applications satisfy the restrictions we impose. This is the case for discrete-time fractional filters, time-delay systems, and heat transfer control systems. We give two general results by which, in particular, the transfer functions that arise in such dynamical systems may be approximated. Estimates for the rate of convergence are given. We also include some numerical examples which compare the performance of the method we propose with others commonly used in systems theory.[+][-]
