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Regional Analysis of a Class of Cellular Automata Models

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Cellular Automata (ACRI 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4173))

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Abstract

Regional analysis in systems theory has been studied for systems described by partial differential equations [6]. In this paper, we propose an approach based on Cellular Automata (CA) models. The approach is considered for real-valued additive CA. The problem of regional controllability is explored and connected with actuators structures. The so-called rank condition is established. Dual results for the observability of additive CA are developed.

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References

  1. Afifi, L., El Jai, A., Zerrik, E.: Regional approach of dynamical systems (to appear, 2006)

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  5. El Yacoubi, S., El Jaï, A.: Notes on control and observation in cellular automata models. WSEAS Transactions on Computers 2, 1086–1092 (2003)

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Author information

Authors and Affiliations

  1. Faculty of Sciences and Technics, Mathematical Modeling and Control., Tanger, Morocco

    A. Bel Fekih

  2. MEPS – Systems Theory Laboratory, University of Perpignan, France

    A. El Jai

Authors
  1. A. Bel Fekih
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  2. A. El Jai
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Editor information

Editors and Affiliations

  1. Laboratory of Mathematics, Physics and Systems, University of Perpignan, 52, Paul Alduy Avenue, 66860, Perpignan, Cedex, France

    Samira El Yacoubi

  2. Computer Science Department, University of Geneva, Switzerland

    Bastien Chopard

  3. Research Center on Complex Systems and Artificial Intelligence (CSAI) Department of Computer Science, Systems and Communication (DISCo), University of Milan, Bicocca viale Sarca, 336, 20126, Milan, (Italy)

    Stefania Bandini

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© 2006 Springer-Verlag Berlin Heidelberg

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Fekih, A.B., El Jai, A. (2006). Regional Analysis of a Class of Cellular Automata Models. In: El Yacoubi, S., Chopard, B., Bandini, S. (eds) Cellular Automata. ACRI 2006. Lecture Notes in Computer Science, vol 4173. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11861201_9

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  • DOI: https://doi.org/10.1007/11861201_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40929-8

  • Online ISBN: 978-3-540-40932-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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