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Investigation of stability of nonlinear continuous-discrete models of economic dynamics using vector Lyapunov function. II

  • Systems Analysis and Operations Research
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Abstract

In the first part of this paper, procedures for construction of sublinear Lyapunov vector functions and a new type of heterogeneous comparison systems, which allow investigation of different properties of stability and boundedness without discretization of original systems were given for a sufficiently wide class of nonlinear continuous-discrete control systems. In this paper, these comparison systems are used to formulate effectively verified conditions of exponential stability and constructive procedures for analysis of this property with calculation of all quantitative estimates characterizing this property. The application to the investigation of stability of economic growth in the Phillips-Bergstrom model with discrete monetary regulation is made.

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References

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Authors and Affiliations

  1. Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 134, Irkutsk, 664033, Russia

    R. I. Kozlov

  2. Baikal State University of Economics and Law, ul. Lenina 11, Irkutsk, 664003, Russia

    O. R. Kozlova

Authors
  1. R. I. Kozlov
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  2. O. R. Kozlova
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Original Russian Text © R.I. Kozlov, O.R. Kozlova, 2009, published in Izvestiya Akademii Nauk. Teoriya i Sistemy Upravleniya, 2009, No. 3, pp. 41–50.

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Kozlov, R.I., Kozlova, O.R. Investigation of stability of nonlinear continuous-discrete models of economic dynamics using vector Lyapunov function. II. J. Comput. Syst. Sci. Int. 48, 370–378 (2009). https://doi.org/10.1134/S1064230709030058

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  • DOI: https://doi.org/10.1134/S1064230709030058

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