NDLI: Shift-invariant representation of two periodic system classes defined over doubly-infinite continuous time

Content Provider	IEEE Xplore Digital Library
Author	Sei Zhen Khong Cantoni, M.
Copyright Year	2010
Description	Author affiliation: Department of Electrical and Electronic Engineering, The University of Melbourne, Australia (Sei Zhen Khong; Cantoni, M.)
Abstract	This paper considers an isomorphism introduced by Bamieh et. al. in [1], to construct shift-invariant representations, over the same ‘time-lifted’ system class, for two classes of linear periodically time-varying (LPTV) systems. Specifically, we consider the class of finite-dimensional linear time-invariant (LTI) systems, characterised by a rational frequency-domain symbol, and a class of LPTV systems with sampled-data structure. Such systems appear together in problems of sampled-data approximation, for example. We study them here in terms of mappings between finite-energy signals defined over the doubly-infinite continuous-time axis (-∞,∞), which arises when working with the ν-gap metric to gauge approximation error for such problems. A complication within this context stems from the absence of an integral-operator input-output representation for every system in the LPTV classes considered. We resolve this issue by working with the graph representation of the systems involved.
Starting Page	197
Ending Page	204
File Size	245369
Page Count	8
File Format	PDF
ISBN	9781424476428
e-ISBN	9784907764364
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-08-18
Publisher Place	Taiwan
Access Restriction	Subscribed
Rights Holder	SICE
Subject Keyword	Transfer functions Time domain analysis Fourier transforms Frequency domain analysis Hilbert space Convolution doubly-infinite time Periodic systems sampled-data systems multiplication operators
Content Type	Text
Resource Type	Article

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