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Conditions and estimates for the convergence of solutions of control problems for singularly perturbed hyperbolic systems

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References

  1. Lions, J. L.,Optimal Control of Systems Governed by Partial Differential Equations, Berlin a.o., 1971. Translated under the titleOptimal’noe upravlenie sistemami, opisyvaemymi uravneniyami s chastnymi proizvodnymi, Moscow: Mir, 1972.

  2. Lubyshev, F.V.,Differents. Uravn., 1977, vol. 13, no. 4, pp. 711–717.

    MATH  Google Scholar 

  3. Tagiev, R.K., inChislennye metody i mat. obespechenie (Numerical Methods and Mathematical Software), Baku, 1984.

  4. Korotkii, A.I., inNekotorye metody positsionnogo i programmnogo upravleniya (Some Methods of Positional and Program Control), Sverdlovsk, 1987, pp. 22–33.

  5. Kuzenkov, O.A. and Plotnikov, V.l., inKonstruirovanie algoritmov i reshenii zadach mat. fiziki (Development of Algorithms and Solutions for Problems of Mathematical Physics), Moscow, 1989.

  6. Avdonin, S.A., Ivanov, S.A., and Ishmukhametov, A.Z.,Dokl. Akad. Nauk SSSR, 1991, vol. 316, no. 4, pp. 9.

    Google Scholar 

  7. Kurzhanskii, M.A.,Vestn. Mosk. un-ta. Ser. 15. Vychislit. matematika i kibernetika, 1992, no. 3, pp. 28–33.

  8. Ishmukhametov, A.Z.,Zh. Vychislit. Mat. Mat. Fiz., 1994, vol. 34, no. 1, pp. 12–28.

    MATH  MathSciNet  Google Scholar 

  9. Egorov, A.I. and Mikhailova, T.F.,Dokl. Akad. Nauk USSR. Ser. A, 1986, no. 3, pp. 74–77.

  10. Ishmukhametov, A.Z.,Differents. Uravn., 2000, vol. 36, no. 2, pp. 241–250.

    MathSciNet  Google Scholar 

  11. Lomovtsev, F.E. and Yurchuk, N.I.,Differents. Uravn., 1976, vol. 12, no. 12, pp. 2242–2250.

    MATH  Google Scholar 

  12. Ishmukhametov, A.Z.,Differents. Uravn., 1987, vol. 23, no. 3, pp. 493–499.

    MathSciNet  Google Scholar 

  13. Vasil’ev, F.P.,Metody resheniya ekstremal’nykh zadach (Methods for Extremal Problems), Moscow, 1981.

  14. Vasil’ev, F.P., Ishmukhametov, A.Z., and Potapov, M.M.,Obobshchennaya problema momentov v zadachakh optimal’nogo upravleniya (The Generalized Moment Problem in Optimal Control Theory), Moscow, 1989.

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Ishmukhametov, A.Z. Conditions and estimates for the convergence of solutions of control problems for singularly perturbed hyperbolic systems. Diff Equat 36, 857–869 (2000). https://doi.org/10.1007/BF02754409

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