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TOPOLOGICAL PROPERTIES OF THE TECHNOLOGICAL SET IN LEONTIEV DYNAMIC MODEL WITH CONTINUOUS TIME

Annotation

Topological properties of the technological set in Leontiev dynamical model with continuous time are analyzed. The function of non-production consumption is taken as a control. Necessary conditions of closedness of technological set are given.

Keywords

linear controlled system; set of attainability

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UDC

517

Pages

1071-1078

References

1. Arutyunov A.V., Pavlova N.G. O topologicheskikh svoystvakh mnozhestva dostizhimosti lineynykh sistem // Differentsial'nye uravneniya. 2004. T. 40. № 2. S. 1564–1566. 2. Batishcheva S.E., Kadaner E.D., Simonov P.M. Ekonomiko-matematicheskoe modelirovanie. P.: PGU, 2010.

Received

2015-05-26

Section of issue

Scientific articles

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