Linear systems with sign-observations. Koplon, R. & Sontag, E. SIAM J. Control Optim., 31(5):1245–1266, Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, 1993. doi abstract bibtex This paper deals with systems that are obtained from linear time-invariant continuous- or discrete-time devices followed by a function that just provides the sign of each output. Such systems appear naturally in the study of quantized observations as well as in signal processing and neural network theory. Results are given on observability, minimal realizations, and other system-theoretic concepts. Certain major differences exist with the linear case, and other results generalize in a surprisingly straightforward manner.
@ARTICLE{MR1234002,
AUTHOR = {R. Koplon and E.D. Sontag},
JOURNAL = {SIAM J. Control Optim.},
TITLE = {Linear systems with sign-observations},
YEAR = {1993},
OPTMONTH = {},
OPTNOTE = {},
NUMBER = {5},
PAGES = {1245--1266},
VOLUME = {31},
ADDRESS = {Philadelphia, PA, USA},
KEYWORDS = {observability},
PUBLISHER = {Society for Industrial and Applied Mathematics},
PDF = {../../FTPDIR/signlinear_koplon_sontag_repreint_siam1993.pdf},
ABSTRACT = { This paper deals with systems that are obtained from
linear time-invariant continuous- or discrete-time devices followed
by a function that just provides the sign of each output. Such
systems appear naturally in the study of quantized observations as
well as in signal processing and neural network theory. Results are
given on observability, minimal realizations, and other
system-theoretic concepts. Certain major differences exist with the
linear case, and other results generalize in a surprisingly
straightforward manner. },
DOI = {http://dx.doi.org/10.1137/0331059}
}
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