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The Convergence of the Solution of a Matrix Riccati Equation to the Maximal Stationary Solution in the Critical Case

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REFERENCES

  1. Lee, E.B. and Markus, L., Foundations of Optimal Control Theory, New York: Wiley, 1967. Translated under the title Osnovy teorii optimal'nogo upravleniya, Moscow, 1972.

    Google Scholar 

  2. Bobylev, N.A., Emel'yanov, S.V., and Korovin, S.K., Geometricheskie metody v variatsionnykh zadachakh (Geometric Methods in Variational Problems), Moscow, 1998.

  3. Athans, M. and Falb, P.L., Optimal Control. An Introduction to the Theory and Its Applications, New York: McGraw-Hill, 1966. Translated under the title Optimal'noe upravlenie: Vvedenie v teoriyu i prilozheniya, Moscow, 1968.

    Google Scholar 

  4. Callier, F.M. and Willems, J.L., IEEE Trans. Aut. Contr., 1981, vol. AC-26, pp. 1232-1242.

    Google Scholar 

  5. Shayman, M.A., SIAM J. Control Opt., 1986, vol. 24, pp. 1-65.

    Google Scholar 

  6. Schneider, C.R., Math. Systems Theory, 1973, vol. 7, pp. 281-286.

    Google Scholar 

  7. Kučera, V., The Riccati Equation, Berlin, 1991.

  8. Bucy, R., Filtering for Stochastic Processes with Applications to Guidance, New York, 1968.

  9. Shayman, M.A., SIAM J. Control Opt., 1983, vol. 21, pp. 375-394.

    Google Scholar 

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  1. Voronezh State University, Voronezh, Russia

    L. A. Safonov & V. V. Strygin

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  1. L. A. Safonov
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  2. V. V. Strygin
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Safonov, L.A., Strygin, V.V. The Convergence of the Solution of a Matrix Riccati Equation to the Maximal Stationary Solution in the Critical Case. Differential Equations 38, 29–34 (2002). https://doi.org/10.1023/A:1014843223825

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