Abstract
An optimization problem for a system of self-reproducing objects is studied. The goal is to maintain the existence of the system arbitrarily long. A feature of the problem is that the cost function is represented by the limit of a certain quantity as the time tends to infinity.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
O. A. Kuzenkov and E. A. Ryabova, Mathematical Modelling of Selection Processes: Textbook (Izd. Nizhegorodskogo Univ., Nizhnii Novgorod, 2007) [in Russian].
Von Neumann, J., The Theory of Self-Reproducing Automata (Univ. of Illinois Press, Urbana, 1966; Mir, Moscow, 1971).
L. I. Rozonoer and E. I. Sedykh, “Evolution Mechanisms of Self-Reproducing Systems,” Avtom. Telemekh., No. 2, 110–119 (1979).
V. M. Alekseev, V. M. Tikhomirov, and S. V. Fomin, Optimal Control (Nauka, Moscow 1979) [in Russian].
G. Yu. Riznichenko, Lectures on Mathematical Models in Biology (NITs Regulyarnaya I Khaoticheskaya Dinamika, Izhevsk, 2002).
B. G. Zaslavskii and R. A. Poluektov, Control of Ecological Systems (Nauka, Moscow, 1990) [in Russian].
O. A. Kuzenkov, “The Investigation of the Population Dynamics Control Problems Based on the Generalized Kolmogorov Model,” J. Comput. Syst. Sci. Int. 48, 839–851 (2009).
M. Mangel and C. W. Clark, Dynamic Modeling in Behavioral Ecology (Princeton Univ. Press, Princeton, N.J., 1988; Mir, Moscow, 1992).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © O.A. Kuzenkov, G.V. Kuzenkova, 2012, published in Izvestiya Akademii Nauk. Teoriya i Sistemy Upravleniya, 2012, No. 4, pp. 26–37.
Rights and permissions
About this article
Cite this article
Kuzenkov, O.A., Kuzenkova, G.V. Optimal control of self-reproduction systems. J. Comput. Syst. Sci. Int. 51, 500–511 (2012). https://doi.org/10.1134/S1064230712020074
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064230712020074