caa a22 4500 605525455 CHVBK 20210128100758.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s10958-015-2461-y doi (NATIONALLICENCE)springer-10.1007/s10958-015-2461-y Optimization Problems with Periodic Boundary Conditions and Boundary Control for Gas-Lift Wells [Elektronische Daten] [F. Aliev, N. Ismailov] We consider a gas-lift process averaged over time. It is assumed that the gas-liquid mixture formed in the mixing zone on the boundary of the annular space and the oil pool is delivered to the lift via impulsive systems. Since the gas-liquid mixture directed from the mixture zone to the exit of the well is not completely transferred, in order to get the maximum output of the well for the minimum initial volume of the gas, we assume that the volumes of gas-liquid mixture at the entrance and exit of the lift are identical, i.e., impose the conditions of periodicity. We propose an algorithm for the solution of this problem based on the method of finding extrema with the use of numerical quasilinearization and Euler procedures realized in the MATLAB package. The results are illustrated by an example showing that the proposed approach results in a significant increase in the output of the well. Springer Science+Business Media New York, 2015 Aliev F. Institute of Applied Mathematics, Baku State University Azerbaijan, 23 Khalilov Str, AZ1148, Baku, Azerbaijan aut Ismailov N. Institute of Applied Mathematics, Baku State University Azerbaijan, 23 Khalilov Str, AZ1148, Baku, Azerbaijan aut Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/5(2015-08-01), 467-476 1072-3374 208:5<467 2015 208 10958 https://doi.org/10.1007/s10958-015-2461-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2461-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Aliev F. Institute of Applied Mathematics, Baku State University Azerbaijan, 23 Khalilov Str, AZ1148, Baku, Azerbaijan aut NATIONALLICENCE 700 1- Ismailov N. Institute of Applied Mathematics, Baku State University Azerbaijan, 23 Khalilov Str, AZ1148, Baku, Azerbaijan aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 208/5(2015-08-01), 467-476 1072-3374 208:5<467 2015 208 10958