Controlling the Dynamics of the Fuzzy Cellular Automaton Rule 90, I.

Authors:
Samira Yacoubi;Angelo Mingarelli
Affiliations:
Laboratory of Mathematics, Physics and Systems, University of Perpignan, Perpignan, Cedex, France 66860;School of Mathematics and Statistics, Carleton University, Ottawa, Canada K1S 5B6
Venue:
ACRI '08 Proceedings of the 8th international conference on Cellular Automata for Reseach and Industry
Year:
2008

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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= (u0, u1, 茂戮驴 , uT茂戮驴 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.