The measurement problem in distributed system feedback is posed as an observability question. Sensor location and the information content of the resulting signals relative to a partial differential equation model are the primary questions. A new definition of observability is introduced which allows the specification of the space-time domain where the system is observable. The definition is also applied to the problem of observing a particular set of solution modes. Observability results are given for particular classes of equations. Examples indicate a rationale for using the results in selecting measurement locations in distributed systems.
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Goodson et al. (1970) studied this question.
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