Rational interpolation for stochastic DES's: Convergence issues

Authors
Nananukul, S Gong, WB
Citation
S. Nananukul et Wb. Gong, Rational interpolation for stochastic DES's: Convergence issues, IEEE AUTO C, 44(5), 1999, pp. 1070-1073
Citations number
19
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
ISSN journal
00189286 → ACNP
Volume
44
Issue
5
Year of publication
1999
Pages
1070 - 1073
Database
ISI
SICI code
0018-9286(199905)44:5<1070:RIFSDC>2.0.ZU;2-7
Abstract
In recent works, rational interpolation has been applied with success to ma ny performance functions in stochastic discrete-event systems (DES's). In t his paper, we consider the issue of convergence of rational interpolants. W e show that, for some performance functions in DES's, the convergence of ra tional interpolants is at least geometrically fast. An error bound for rati onal interpolation on integer points has also been obtained.