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Class of control problems of dynamical systems with a discontinuous right-hand side

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Literature Cited

  1. E. I. Kugushev, “Necessary optimality conditions for systems described by equations with a discontinuous right-hand side,” Vestn. Mosk. Univ., Ser. Mat. Mekh., No. 2, 83–90. (1974).

    Google Scholar 

  2. S. F. Morozov and M. I. Sumin, “Necessary conditions of optimality in the control problem of discontinuous dynamical systems,” Manuscript deposited at VINITI, Oct. 28, 1980, No. 4545–80 Dep.

  3. V. I. Plotnikov, “Necessary and sufficient optimality conditions of uniqueness conditions for optimizing functions for control systems of general form,” Izv. Akad. Nauk SSSR, Ser. Mat.,36, No. 3, 652–679 (1972).

    Google Scholar 

  4. A. F. Filippov, “Differential equations with a discontinuous right-hand side,” Mat. Sb.,51, (93), No. 1, 99–128 (1960).

    Google Scholar 

  5. L. T. Ashchepkov and N. M. Levchenko, “On the optimality of a discontinuous control system on a sliding segment,” Sib. Mat. Zh.,22, No. 2, 38–47 (1981).

    Google Scholar 

  6. V. A. Troitskii, “Variational problems of optimization of control processes for equations with discontinuous right-hand sides,” Prikl. Mat. Mekh.,26, No. 2, 233–246 (1962).

    Google Scholar 

  7. V. V. Velichenko, “On optimal control problems for equations with discontinuous right-hand sides,” Avtomat. Telemekh., No. 7, 20–30 (1966).

    Google Scholar 

  8. B. N. Pshenichnyi and Yu. M. Danilin, “On the differentiability of solutions of systems of differential equations with discontinuous right-hand sides with respect to initial values,” Teor. Optimal. Reshenii, No. 1, 25–43 (1968).

    Google Scholar 

  9. L. T. Ashchepkov and U. Badam, “The optimization of the parameters of discontinuous dynamical systems,” Avtomat. Telemekh., No. 8, 13–20 (1979).

    Google Scholar 

  10. L. T. Ashchepkov and U. Badam, “The optimization of the parameters of discontinuous dynamical systems,” in: Problems of Motion Stability, Analytic Mechanics and Motion Control [in russian], Nauka, Novosibirsk (1979), pp. 244–250.

    Google Scholar 

  11. S. F. Morozov, M. M. Novozhenov, and M. I. Sumin, “Optimal control with discontinuous dynamical systems,” in: Abstracts of the Proceedings of the Third All-Union Conference on Optimal Control in Mechanical Systems [in Russian], Vol. 2, Kiev (1979), pp. 89–90.

  12. S. F. Morozov and M. I. Sumin, “The optimization of discontinuous dynamical systems,” in: Abstracts of the Proceedings of the Second All-Union Conference-Seminar “Optimization of Dynamical Systems,” Minsk (1980), p. 87.

  13. V. M. Alekseev, V. M. Tikhomirov, and S. V. Fomin, Optimal Control [in Russian], Nauka, Moscow (1979).

    Google Scholar 

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Translated from Kibernetika, No. 3, pp. 59–65, 71, May–June, 1985.

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Morozov, S.F., Sumin, M.I. Class of control problems of dynamical systems with a discontinuous right-hand side. Cybern Syst Anal 21, 346–355 (1985). https://doi.org/10.1007/BF01078830

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