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Time-discrete networks

Time-discrete networks

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In this letter, the authors pose an interesting area of study which, it is felt, will lead to a clarification of the relationship between network theory and system theory. Specifically, it is proposed that a formal study be made of networks of RLC components characterised by difference relations rather than differential relations. The main contribution is a set of definitions which preserve stability, passivity and other energy relations in the discrete-time case and which pass to the continuous time relations as the step size becomes small. The formalism introduced shows promise of providing a foundation for digital-computer network simulators.

References

    1. 1)
      • Liu, R., Leake, R.J., Saeks, R.: `Network theory vs system theory', Hawaii international conference on system sciences, 1968.
http://iet.metastore.ingenta.com/content/journals/10.1049/el_19680059
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