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TITLE: A note on persistency of excitation
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AUTHORS: J. C. Willems and I. Markovsky and P. Rapisarda and B. De Moor
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ABSTRACT: We prove that if a component of the response signal of a controllable linear time-invariant system is persistently exciting of sufficiently high order, then the windows of the signal span the full system behavior. This is then applied to obtain conditions under which the state trajectory of a state representation spans the whole state space.
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KEYWORDS: Behavioral systems, persistency of excitation, lags, annihilators.
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STATUS: In the proceedings the IEEE Conference on Decision and Control, 2004, pages 2630-2631.
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DATE OF ENTRY: 22 February 2004
@InProceedings{WMRDM04,
author = {J. C. Willems and I. Markovsky and P. Rapisarda and B. De Moor},
title = {A note on persistency of excitation},
booktitle = {Conf. on Decision and Control},
pages = {2630--2631},
year = {2004},
address = {Atlantis, Paradise Island, Bahamas}
}