Abstract
Control problems on Cellular Automata (CA) models have been introduced in a rigorous mathematical framework [10]. In this paper, we attempt to apply the control theory concept to the special class of fuzzy CA for which more freedom is gained using a continuum state space. Focusing on the case of fuzzy rule 90, we investigate the possibility of finding a control u=(u 0, u 1,⋯ , u T-1) which forces the system at a localized cell, to achieve a given desired state at time T. The problem is studied starting from an initial configuration consisting of a single seed on a zero background. © 2008 Springer-Verlag Berlin Heidelberg.
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El Yacoubi, S., & Mingarelli, A. (2008). Controlling the dynamics of the fuzzy cellular automaton rule 90, I. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5191 LNCS, pp. 174–183). https://doi.org/10.1007/978-3-540-79992-4_23
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