Geodesic
A Criterion for the Existence of Nondestructive Controls in the Problem of Optimal Exploitation of a Binary-Structured System
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 26 (2020) no. 3, pp. 101-117

Voir la notice de l'article provenant de la source Math-Net.Ru

Earlier the authors proved the equivalence of a sustainable exploitation problem for a system of renewable resources and a certain mathematical program. In this paper we study the properties of a map describing the dependence of the state vector of the system on the control. In the particular case of a structured population described by the binary Leslie model, conditions for the objective function are characterized under which there are optimal controls preserving all structural divisions of the system. In this case, we use the notion of local irreducibility, which generalizes the classical notion of map irreducibility.
Keywords: optimal exploitation of ecosystems, nondestructive controls, irreducible map, concave programming. 
@article{TIMM_2020_26_3_a9,
     author = {V. D. Mazurov and A. I. Smirnov},
     title = {A {Criterion} for the {Existence} of {Nondestructive} {Controls} in the {Problem} of {Optimal} {Exploitation} of a {Binary-Structured} {System}},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {101--117},
     publisher = {mathdoc},
     volume = {26},
     number = {3},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2020_26_3_a9/}
}
TY  - JOUR
AU  - V. D. Mazurov
AU  - A. I. Smirnov
TI  - A Criterion for the Existence of Nondestructive Controls in the Problem of Optimal Exploitation of a Binary-Structured System
JO  - Trudy Instituta matematiki i mehaniki
PY  - 2020
SP  - 101
EP  - 117
VL  - 26
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TIMM_2020_26_3_a9/
LA  - ru
ID  - TIMM_2020_26_3_a9
ER  - 
%0 Journal Article
%A V. D. Mazurov
%A A. I. Smirnov
%T A Criterion for the Existence of Nondestructive Controls in the Problem of Optimal Exploitation of a Binary-Structured System
%J Trudy Instituta matematiki i mehaniki
%D 2020
%P 101-117
%V 26
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TIMM_2020_26_3_a9/
%G ru
%F TIMM_2020_26_3_a9
V. D. Mazurov; A. I. Smirnov. A Criterion for the Existence of Nondestructive Controls in the Problem of Optimal Exploitation of a Binary-Structured System. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 26 (2020) no. 3, pp. 101-117. http://geodesic.mathdoc.fr/item/TIMM_2020_26_3_a9/