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Journal of Automation and Information Sciences
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ISSN Print: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v42.i12.50
pages 46-68

Modeling the Dynamic Generalized Ecological and Economic System of Interindustry Balance with a Delay

Miroslav V. Boichuk
Yuriy Fedkovich Chernovtsy National University, Ukraine
Natalya M. Shmurygina
Bukovina University, Chernovtsy, Ukraine


For the dynamic generalized model of the interindustry balance in view of pollution control with a delay the solution is found, and the optimal trajectory is a piecewise-differentiable function on and the optimal control is a piecewise continuous function on the segment The algorithm of solving the problem is developed and the results of numerical simulation are given.


  1. Grigorkiv V.S., Buyak, L.M., The production functions of maximum and minimum output and their application in industrial management.

  2. Andreeva E.A., Kolmanovskiy V.B., Shaikhet L.E., Control of systems with aftereffect.

  3. Fodchuk V.I., Bigun Ya.J., Klevchuk I.I., Cherevko I.M., Yakimov I.V., Regularly and singularly perturbed differential-functional equations.

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