| Linear Systems With Sign-Observations (2008) | |||||||||||||||||
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| . This paper deals with systems that are obtained from linear time-invariant continuousor 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 systemtheoretic concepts. Certain major differences exist with the linear case, and other results generalize in a surprisingly straightforward manner. Key Words. observability, minimal realization, neural networks, quantization effects AMS(MOS) subject classification. Primary 93B07, 93B10, 93B15 1. Introduction. A central issue in current control theory and signal processing concerns the interface between on the one hand the continuous, physical, world and on the other hand discrete devices such as digital computers, capable of symbolic processing. Classical control techniques, especially for linear systems, have pr... | |||||||||||||||||
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