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Conditions for optimality for a class of distributed parameter systems

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Literature Cited

  1. A. G. Butkovskii Theory of Optimal Control for Distributed Parameter Systems [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  2. A. I. Egorov, “Optimal control in some distributed parameter systems,” Avtomat. Telemekh.,25, No. 5, 613–623 (1964).

    Google Scholar 

  3. A. I. Egorov, “Optimal processes in distributed parameter systems and certain problems of the theory of invariance,” Izv. Akad. Nauk SSSR, Ser. Mat.,29, No. 6, 1205–1260 (1965).

    Google Scholar 

  4. A. I. Egorov, “Necessary conditions for the optimality of distributed parameter systems,” Matem. Sb.,69, No. 3, 371–421 (1966).

    Google Scholar 

  5. V. I. Plotnikov and V. I. Sumin, “The problem of the stability of nonlinear Goursat-Darboux systems,” Differentsial'nye Uraveniya,8, No. 5, 845–856 (1972).

    Google Scholar 

  6. V. I. Plotnikov and V. I. Sumin, “Optimization of objects with distributed parameters described by Goursat-Darboux systems,” Zh. Vychisl. Matem. i Matem. Fiz.,12, No. 1, 61–77 (1972).

    Google Scholar 

  7. M. B. Suryanarayana, “Necessary conditions for optimization problems with hyperbolic partial differential equations,” SIAM J. Control,11, No. 1, 130–147 (1973).

    Google Scholar 

  8. K. K. Gasanov, “The existence of optimal controls for processes described by a system of hyperbolic equations,” Zh. Vychisl. Matem. i Matem. Fiz.,13, No. 3, 599–608 (1973).

    Google Scholar 

  9. K. K. Gasanov, “A maximum principle for processes with distributed parameters and a retarded argument,” Differentsial'nye Uravneniya,9, No. 4, 743–746 (1973).

    Google Scholar 

  10. O. V. Vasil'ev, “The optimality of singular controls in distributed parameter systems,” Control Systems [in Russian], No. 10, Novosibirsk (1972), pp. 27–34.

    Google Scholar 

  11. K. T. Akhmedov and S. S. Akhiev, “Necessary conditions for optimality for some problems in optimal control theory,” Dokl. Akad. Nauk AzerbSSR, No. 5, 12–16 (1972).

    Google Scholar 

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

    Google Scholar 

  13. R. Gabasov and F. Kirillova, Qualitative Theory of Optimal Processes [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  14. S. L. Sobolev, Equations of Mathematical Physics [in Russian], Fizmatgiz Moscow (1966).

    Google Scholar 

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Authors
  1. V. A. Srochko
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Translated from Sibirskii Matematicheskii Zhurnal. Vol. 17, No. 5, pp. 1108–1115, September–October. 1976.

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Srochko, V.A. Conditions for optimality for a class of distributed parameter systems. Sib Math J 17, 819–825 (1976). https://doi.org/10.1007/BF00966382

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  • DOI: https://doi.org/10.1007/BF00966382

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