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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 282))

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Abstract

This chapter concerns networks of interacting stochastic processes each represented by a stochastic automaton. In Section 7.2, such networks are formally described by automata networks. Their behaviour is investigated in Section 7.3. In Section 7.4 it is shown how an automata network can be transformed into an equivalent single automaton. This transformation is referred to as composition of automata. Hence, instead of analysing the network itself, the composed automaton can be investigated by means of the methods presented in the previous chapters. Based on the composition, it is shown how the state observation and fault diagnostic tasks are solved for automata networks in Section 7.5.

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7.6 Bibliographical Notes

  1. Atzeni, P. and V. de Antonellis: Relational Database Theory. The Benjamin Cummings Publishing Company, Redwood City, California, 1993.

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  2. Bukharaev, R.: Theorie der stochastischen Automaten. B.G. Teubner, Stuttgart, 1995.

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  3. Finkas, H.: Komposition von qualitativen Modellen dynamischer Systeme. Diploma Thesis, Report 96.10, Institute of Control Engineering, Techn. Univ. Hamburg-Harburg, 1996.

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  4. Heiming, B.: Parallele Prozeßdiagnose auf der Grundlage einer qualitativen Systembeschreibung, VDI Fortschrittberichte, Vol. 8,817, VDI Verlag, Düsseldorf, 2000.

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  5. Lichtenberg, G.: Theorie und Anwendung der qualitativen Modellierung zeitdiskreter dynamischer Systeme durch nichtdeterministische Automaten. VDI Fortschrittberichte, Vol. 8, 686. VDI Verlag, Düsseldorf, 1998.

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  6. Schmidt, G. and T. Ströhlein: Relations and Graphs. Springer-Verlag, Berlin Heidelberg, 1993.

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© 2003 Springer-Verlag Berlin Heidelberg

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(2003). Stochastic Automata Networks. In: Modelling, State Observation and Diagnosis of Quantised Systems. Lecture Notes in Control and Information Sciences, vol 282. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46086-1_7

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  • DOI: https://doi.org/10.1007/3-540-46086-1_7

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44075-8

  • Online ISBN: 978-3-540-46086-2

  • eBook Packages: Springer Book Archive

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