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Controlled cellular automata
Networks and Heterogeneous Media
Cellular Automata have been successfully used to model evolution of complex systems based on simples rules. In this paper we introduce controlled cellular automata to depict the dynamics of systems with controls that can affect their evolution. Using theory from discrete control systems, we derive results for the control of cellular automata in specific cases. The paper is mostly oriented toward two applications: fire spreading; morphogenesis and tumor growth. In both cases, we illustrate thedoi:10.3934/nhm.2019001 fatcat:tdohdxedtbd5tem4ita5eerq64