ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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Order of preference in self-replicating systems

O. A. Kuzenkov1, E. A. Ryabova2

AnnotationOrder of preference for the system of measurable sets is introduced based on some given process of positive measure dynamics. Control resource limits are determined to get the order in the observed self-replicating system that satisfies given requirements. Solution to the problem for controlled generalized replication system with distributed parameters is considered.
Keywordsself-replicating systems, dynamics of measure, strict preference relation, optimal control

1Associate Professor of numerical and functional analysis, Lobachevsky State University of Nizhni Novgorod; kuzenkov{_)o@mail.ru

2Senior teacher of chair numerical and functional analysis, Lobachevsky State University of Nizhni Novgorod; riabova-ea@rambler.ru

Citation: O. A. Kuzenkov, E. A. Ryabova, "[Order of preference in self-replicating systems]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,16:2 (2014) 69–75 (In Russian)