Abstract
In this paper, the gas dynamics within the pipelines is modelled as a repetitive process with smoothing. Controllability and observability criteria when the system is steered through initial and boundary data, which is achieved by an adequate choice of the homogeneity, are obtained. From the point of view of the technical applications, it seems to make more sense to consider boundary data controls as for instance in the management of high pressure gas networks. Stability criteria suitable computer simulations are also included.
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The authors would like to express their special thanks to the reviewers for their careful reading and helpful comments that led to a significant improvement of this manuscript, as well as to the editors of the Multidimensional Systems and Signal Processing.
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Azevedo-Perdicoúlis, T.P., Jank, G. & Lopes dos Santos, P. Modelling a gas pipeline as a repetitive process: controllability, observability and stability. Multidim Syst Sign Process 26, 967–984 (2015). https://doi.org/10.1007/s11045-015-0314-y
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DOI: https://doi.org/10.1007/s11045-015-0314-y