Journal of Mathematical Sciences

, Volume 80, Issue 1, pp 1489–1518 | Cite as

Quasilinear controlled processes under conflict

  • A. A. Chikrii


Control Process 
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  1. 1.
    E. F. Mishchenko, “Pursuit problems and evading a meeting in the theory of differential games,”Izv. Akad. Nauk SSSR, Tekh. Kibernet., No. 5 (1971).Google Scholar
  2. 2.
    L. S. Pontryagin,Selected Works,II [in Russian], Moscow (1988).Google Scholar
  3. 3.
    N. N. Krasovskii and A. I. Subbotin,Positional Differential Games [in Russian], Nauka, Moscow (1974).Google Scholar
  4. 4.
    M. S. Nikolskii,Pontryagin First Direct Method in Differential Games [in Russian], Moscow University Press, Moscow (1984).Google Scholar
  5. 5.
    Yu. S. Ledyaev and E. F. Mishchenko, “Extremal problems in the theory of differential games,”Trudy Mat. Inst. Akad. Nauk SSSR,185 (1988).Google Scholar
  6. 6.
    N. L. Grigorenko,Differential Games of Pursuit with Several Objects [in Russian], Moscow University Press, Moscow (1983).Google Scholar
  7. 7.
    N. L. Grigorenko,Mathematical Methods of Control of Several Dynamic Processes [in Russian], Moscow University Press, Moscow (1990).Google Scholar
  8. 8.
    A. I. Subbotin and A. G. Chentsov,Optimization of Guarantee in Control Problems [in Russian], Nauka, Moscow (1981).Google Scholar
  9. 9.
    A. A. Chikrii, M. V. Pitzyk, and N. B. Shishkina, “The Pontryagin first direct method and some efficient means of pursuit,”Kibernetika, No. 5 (1986).Google Scholar
  10. 10.
    A. A. Chikrii and A. V. Khomin, “Extremal selectors in differential games, I, II,”Kibernetika, No. 6 (1988), No. 2 (1989).Google Scholar
  11. 11.
    A. A. Chikrii, “Differential games with several pursuers,” in:Proc. of Banach International Mathematical Center,XIV, Warsaw (1985), pp. 81–107.Google Scholar
  12. 12.
    P. V. Prokopovich and A. A. Chikry, “Quasilinear controlled processes under conflict with nonfixed time,”Prikl. Mat. Mekh., No. 1 (1991).Google Scholar
  13. 13.
    B. N. Pshenichny, A. A. Chikry, and L. O. Rappoport, “Efficient method of solving differential games with many pursuers,”Dokl. Akad. Nauk SSSR,256, No. 3 (1981).Google Scholar
  14. 14.
    A. A. Chikrii and S. F. Kalashnikov, “The pursuit of a group of evaders by a controlled object,”Kibernetika, No. 4 (1987).Google Scholar
  15. 15.
    A. A. Chikrii and N. B. Shishkina, “On the problem of group pursuit with phase constraints,”Avtomat. Telemekh., No. 2 (1985).Google Scholar
  16. 16.
    A. A. Belousov and A. A. Chikrii, “Complete controllability of quasilinear processes under conflict,”Prikl. Mat. Mekh., No. 6 (1990).Google Scholar
  17. 17.
    V. I. Blagodatskikh and A. F. Filippov, “Differential inclusions and optimal control,”Trudy Mat. Inst. Akad. Nauk SSSR,169, 194–251 (1985).MathSciNetGoogle Scholar
  18. 18.
    A. D. Ioffe and V. M. Tikhomirov,Theory of Extremal Problems [in Russian], Nauka, Moscow (1974).Google Scholar
  19. 19.
    J.-P. Aubin and I. Ekeland,Applied Nonlinear Analysis [Russian translation], Mir, Moscow (1988).Google Scholar
  20. 20.
    A. N. Kolmogorov and S. V. Fomin,Elements of the Theory of Functions and Functional Analysis [in Russian], Nauka, Moscow (1976).Google Scholar

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© Plenum Publishing Corporation 1996

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  • A. A. Chikrii

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