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Interconnected spatially distributed systems

In this paper system models arising from process-plant installations are derived in the form of an interconnected series of mixed, distributed and lumped-parameter realisations. The terminal characteristics of these models is shown to be a rational, multidimensional function of a finite set of transformed discrete time-delay variables which may be used in feedback-control studies. By employing a linear mapping of the support of the model it is established that stability can be assessed using a corresponding algebraic function to that of the denominator of the system model. Simple worked examples are used to illustrate the procedure.