Abstract
Presented were some results on roughness of the mathematical model of the neoclassical theory of optimal growth with and without parametric regulation, selection of the optimal law of parametric regulation, and the optimal law of parametric regulation vs. the uncontrollable parameters of this mathematical model based on the parametric regulation theory.
Similar content being viewed by others
References
Petrov, A.A., Pospelov, I.G., and Shananin, A.A., Opyt matematicheskogo modelirovaniya ekonomiki (Experience in Mathematical Modeling of Economics), Moscow: Energoatomizdat, 1996.
Kolemaev, V.A., Matematicheskaya ekonomika (Mathematical Economics), Moscow: Unity, 2002.
Ashimov, A.A., Sagadiev, K.A., Borovskiy, Yu.V., Iskakov, N.A., and Ashimov, As.A., Elements of the Market Development Parametrical Regulation Theory, in Proc. 9 IASTED Int. Conf. Control App., Montreal, Quebec, 2007, pp. 296–301.
Ashimov, A.A., Sagadiev, K.A., Borovskiy, Yu.V., et al., On Bifurcation of Extremals of One Class of Variational Calculus Tasks at Selection of the Optimum Law of a Dynamic System’s Parametric Regulation, in Proc. 18 Int. Conf. Syst. Engin., Coventry, 2006, pp. 15–19.
Ashimov, A.A., Sagadiev, K.A., Borovskii, Yu.V., et al., On Selecting Efficient Laws of Parametric Regulation of the Market Economy Mechanisms, Avtom. Telemekh., 2005, no. 3, pp. 105–112.
Ashimov, A.A., Borovskiy, Yu.V., and Ashimov, As.A., Parametrical Regulation of Market Economy Mechanisms, in Proc. 18 Int. Conf. Syst. Engin. ICSEng, Las Vegas, 2005, pp. 189–193.
Kulekeev, Zh., Ashimov, A., Borovskiy, Yu., and Volobueva, O., Methods of the Parametrical Regulation of Market Economy Mechanisms, in Proc. 15 Int. Conf. Syst. Sci., Wroclaw, 2004, vol. 3, pp. 439–446.
Ashimov, A.A., Borovskiy, Yu.V., and Ashimov, As.A., Parametrical Regulation Methods of the Market Economy Mechanisms, Syst. Sci., 2005, vol. 35, no. 1, pp. 89–103.
Ashimov, A.A., Sagadiev, K.A., Borovskiy, Yu.V., et al., Parametrical Regulation of Nonlinear Dynamic Systems Development, in Proc. 26 IASTED Int. Conf. Modelling, Identification and Control, Innsbruck, 2007, pp. 212–217.
Ashimov, A.A., Sagadiev, K.A., Borovskiy, Yu.V., et al., On the Market Economy Development Parametrical Regulation Theory, in Proc. 16 Int. Conf. Syst. Sci., Wroclaw, 2007, pp. 493–502.
Ashimov, A.A., Sagadiev, K.A., Borovskii, Yu.V., et al., Parametric Regulation of Development of Nonlinear Dynamic Economic Systems, in Proc. 2nd Int. Conf. “Mathematical Modeling of Social and Economic Dynamics” (MMSED-2007), Moscow: Ross. Univ. Druzhby Narodov, 2007, pp. 23–25.
Yanovskii, L.P., Chaos Monitoring in Economic Growth Models, Ekon. Mat. Metody, 2002, vol. 38, no. 1, pp. 16–23.
Bautin, N.N. and Leontovich, E.A., Metody i priemy kachestvennogo issledovaniya dinamicheskikh sistem na ploskosti (Methods and Techniques for Qualitative Study of Dynamic System on Plane), Moscow: Nauka, 1990.
Author information
Authors and Affiliations
Additional information
Original Russian Text © A.A. Ashimov, K.A. Sagadiev, Yu.V. Borovskii, N.A. Iskakov, As.A. Ashimov, 2008, published in Avtomatika i Telemekhanika, 2008, No. 8, pp. 113–119.
Rights and permissions
About this article
Cite this article
Ashimov, A.A., Sagadiev, K.A., Borovskii, Y.V. et al. Development and application of the theory of parametric regulation of evolution of economic systems based on a neoclassical model of optimal growth. Autom Remote Control 69, 1373–1379 (2008). https://doi.org/10.1134/S0005117908080092
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0005117908080092