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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Afifi, L., El Jai, A., Zerrik, E.: Regional approach of dynamical systems (to appear, 2006)
El Jai, A., Pritchard, A.J.: Sensors and controls in the analysis of distributed systems. Texts in Applied Mathematics Series. J. Wiley, Chichester (1988)
El Jai, A., Zerrik, E., Amouroux, M.: Regional observability of distributed systems. Int. J. of System Sciences 25(2), 301–313 (1994)
El Yacoubi, S., El Jai, A., Ammor, N.: Regional controllability with cellular automata models. In: Bandini, S., Chopard, B., Tomassini, M. (eds.) ACRI 2002. LNCS, vol. 2493, pp. 367–375. Springer, Heidelberg (2002)
El Yacoubi, S., El Jaï, A.: Notes on control and observation in cellular automata models. WSEAS Transactions on Computers 2, 1086–1092 (2003)
Zerrik, E., El Jai, A., Simon, M.: Regional observability of a thermal process. IEEE Trans. on Automatic Control 40(3), 18–521 (1995)
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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
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