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Optimal control over evolution stochastic systems and its application to stochastic models of financial mathematics

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Abstract

We consider problems of optimal stabilization of controlled evolution stochastic systems in semi-Markov media and their application to financial stochastic models.

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References

  1. V. S. Korolyuk and A. V. Svishchuk, Semi-Markov Random Evolutions [in Russian], Naukova Dumka, Kiev (1992).

    MATH  Google Scholar 

  2. N. N. Krasovskii, “Problem of stabilization of controlled motions,” in: I. G. Malkin, Theory of Stability of Motion [in Russian], Nauka, Moscow (1966).

    Google Scholar 

  3. H. Kushner, Stochastic Stability and Control, Academic Press, New York (1967).

    MATH  Google Scholar 

  4. R. Z. Khas’mins’kii, Stability of Systems of Differential Equations with Random Perturbations of Their Parameters [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  5. V. S. Korolyuk (editor), A Handbook in Probability Theory and Mathematical Statistics [in Russian], Nauka, Moscow (1985).

    Google Scholar 

  6. A. V. Svishchuk and A. G. Burdeinyi, “Stability of semi-Markov evolution systems and its application in financial mathematics,” Ukr. Mat. Zh., 48, No. 10, 1386–1401 (1996).

    Article  Google Scholar 

  7. V. S. Korolyuk, “Stability of autonomous dynamical systems with rapid Markov switchings,” Ukr. Mat. Zh., 33, No. 12, 1176–1181 (1991).

    Google Scholar 

  8. A. V. Swishchuk, “Control of evolutionary stochastic systems,” in: Trans. 12th Prague Conf. (August 29–September 2, 1994), Acad. Sci. Czech. Rep., Prague (1994), pp. 235–238.

    Google Scholar 

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 5, pp. 687–698, May, 1998.

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Svishchuk, A.V., Burdeinyi, A.G. Optimal control over evolution stochastic systems and its application to stochastic models of financial mathematics. Ukr Math J 50, 780–794 (1998). https://doi.org/10.1007/BF02514331

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  • DOI: https://doi.org/10.1007/BF02514331

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