Regional analysis of a class of cellular automata models

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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. © Springer-Verlag Berlin Heidelberg 2006.

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Bel Fekih, A., & El Jai, A. (2006). Regional analysis of a class of cellular automata models. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4173 LNCS, pp. 48–57). Springer Verlag. https://doi.org/10.1007/11861201_9

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