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Intrinsic difficulties in using the doubly-infinite time axis for input-output systems theory

Georgiou T.T. and Smith M.C.

IEEE Transactions on Automatic Control, Volume 40, Pages 516-518, 1995

Abstract

We point out that the natural definitions of stability and causality in input-output systems theory lead to certain inconsistencies when inputs and outputs are allowed to have support on the doubly-infinite time-axis. In contrast, the use of the semi-infinite time axis gives a framework which appears to be more satisfactory to the intuition.

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BibTex Entry

@Article{,
author = {Georgiou T.T. and Smith M.C.},
journal = {IEEE Transactions on Automatic Control},
title = {Intrinsic difficulties in using the doubly-infinite time axis for input-output systems theory },
year = {1995},
pages = {516-518},
volume = {40}
}