On Development of Parametrical Regulation of National Economy Evolution Theory on the Basis of Non-Autonomous Dynamic Systems

Abdykappar A. Ashimov, Bakhyt T. Sultanov, Yuriy V. Borovskiy, Nikolay Y. Borovskiy, Rakhman A. Alshanov, and Bakytzhan A. Aisakova


Non-linear control, modelling and simulation, computable general equilibrium model


The paper presents some results of development of parametrical regulation theory into classes of mathematical models, represented by non-autonomous continuous and discrete dynamic systems, and, particularly, into subclass of computable general equilibrium models (CGE models). We present the theorems on existence of solutions to some problems of variational calculus for given classes of models and the theorems on continuous dependence of criterions’ optimal values on uncontrollable functions. Application efficiency of the proposed method of parametrical identification for large dimensional mathematical models is illustrated on the basis of CGE models of economic sectors. With the help of computational experiments we tested certain propositions of the macroeconomic theory on causes of cyclical economic processes. Efficiency of the parametrical regulation theory approach for running business cycle state policy was illustrated based on the CGE model of economic sectors.

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