Parametrical regulation af economic growth on the basis of mathematical model with the account of foreign commerce

• Autorzy: Ashimov A. A. , Isakov N. A. , Borovskiy Y. V. , Sultanov B. T. , Ashimov A. A.
• Języki publikacji: EN

Abstrakty

EN

The paper is devoted to the application of the theory of parametrical regulation offered by the authors to tasks of maintenance of economic growth with the account of foreign commerce. In the report the mathematical model of economic system of the country is given in view of specified influence. The factors of the mathematical model considered have been evaluated as a result of solving a task of parametrical identification on the statistical data of national economics of the Republic of Kazakhstan and the Russian Federation. The weak structural stability of the specified mathematical model in a compact of eight-dimensional Euclidean space of the phase variables without parametrical regulation has been proved. The proof is based on results of C. Robinson work about structural stability on manifolds with boundary. The methods of the parametrical regulation theory determine the optimum laws of parametrical regulation of processes of economic growth of the Republic of Kazakhstan. These optimum laws are as extremals of the appropriate of variational calculus task at their choice in environment of the given finite set of algorithms. The specified algorithms represent dependences of these or those parameters of mathematical model on some endogenous variables. The dependences of the found laws on influence of two unguided parameters - interest rates on deposits of bank system of the Republic of Kazakhstan and currency exchange rate are being investigated. These dependences are presented as graphs of the criterion's (gross domestic product) optimal values on the parameters of interest rates on deposits and currency exchange rate. The specified graph determines the set of bifurcation points of this two-dimensional parameter. Also, the weak structural stability of the mathematical model with parametrical regulation has been proved.

Słowa kluczowe

EN

dynamical systems; systems modelling; parametrical regulation; task of variational calculation; structural stability

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Systems Science
• Rocznik: 2009
• Tom: Vol. 35, no 2
• Strony: 101--106
• Opis fizyczny: Bibliogr. 12 poz., wykr.

Twórcy

autor

Ashimov A. A.

autor

Isakov N. A.

autor

Borovskiy Y. V.

autor

Sultanov B. T.

autor

Ashimov A. A.

• Institute of Informatics and Control Problems, Pushkin str., 125, 050010 Almaty, Republic of Kazakhstan,

Bibliografia

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