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On the Singular Steady-state Output in Discrete-time Linear Systems

Authors:
Manuel Ortigueira

Keywords: ordinary difference equations; constant coefficient; particular solution; eigenfunction; transfer function; singular difference equation

Abstract:
The singular steady-state output in discrete-time linear systems is studied having as base an eigenfunction approach to the computation of the particular solution. It is shown that the exponentials are the eigenfunctions of such systems. Solutions corresponding to products of falling factorial and exponentials are obtained and generalised for the important singular cases. The ARIMA case is study as an application.

Pages: 54 to 57

Copyright: Copyright (c) IARIA, 2016

Publication date: June 26, 2016

Published in: conference

ISSN: 2519-8432

ISBN: 978-1-61208-487-9

Location: Lisbon, Portugal

Dates: from June 26, 2016 to June 30, 2016