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Erschienen in:
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2014 | OriginalPaper | Buchkapitel

On a Decidable Formal Theory for Abstract Continuous-Time Dynamical Systems

verfasst von : Ievgen Ivanov, Mykola Nikitchenko, Uri Abraham

Erschienen in: Information and Communication Technologies in Education, Research, and Industrial Applications

Verlag: Springer International Publishing

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Abstract

We propose a decidable formal theory which describes high-level properties of abstract continuous-time dynamical systems called Nondeterministic Complete Markovian Systems (NCMS). NCMS is a rather general class of systems which can represent discrete and/or continuous evolutions in continuous time and which is sufficient for modeling a wide range of real-time information processing and cyber-physical systems (CPS). We illustrate the obtained results with a proof of the mutual exclusion property of a CPS which implements Peterson’s algorithm.

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Vorheriges Kapitel Soft Computing Algorithm for Arithmetic Multiplication of Fuzzy Sets Based on Universal Analytic Models
Nächstes Kapitel Pre-automata and Complex Event Processing
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Metadaten
Titel
On a Decidable Formal Theory for Abstract Continuous-Time Dynamical Systems
verfasst von
Ievgen Ivanov
Mykola Nikitchenko
Uri Abraham
Copyright-Jahr
2014
Buch
Information and Communication Technologies in Education, Research, and Industrial Applications

Print ISBN: 978-3-319-13205-1

Electronic ISBN: 978-3-319-13206-8

Copyright-Jahr: 2014

DOI
https://doi.org/10.1007/978-3-319-13206-8_4