Study of the Continuous-Time Open Dynamic Leontief Model as a Linear Dynamical Control System


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Abstract

We study the topological properties of the technology set (the set of all technologically admissible net production output vectors) in the continuous-time dynamic Leontief model in which the control is a function of unproductive consumption. Necessary conditions for the technology set to be closed are obtained.

About the authors

N. G. Pavlova

Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences; Peoples’ Friendship University of Russia

Author for correspondence.
Email: natasharussia@mail.ru
Russian Federation, Moscow, 117997; Moscow, 117198

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