This is a preview of subscription content, log in via an institution to check access.
Literature Cited
L. S. Pontryagin and E. F. Mishchenko, “Evasion in linear differential games,” Differents. Uravn.,7, No. 3, 436–445 (1971).
L. S. Pontryagin, “Linear differential evasion games,” Tr. MI Akad. Nauk SSSR,112, 30–63 (1971).
E. F. Mishchenko, “Pursuit and evasion problems in theory of differential games,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 5, 3–9 (1971).
E. F. Mishchenko, M. S. Nikol'skii, and Yu. Satimov, “Evasion in n-person differential games,” Tr. Akad. Nauk SSSR,143, 105–126 (1977).
R. V. Gamkrelidze and G. L. Kharatishvili, “A differential game of evasion with nonlinear control,” SIAM J. Control,12, No. 2, 332–349 (1974).
B. N. Pshenichnyi, “On an evasion problem,” Kibernetika, No. 4, 120–127 (1975).
M. S. Nikol'skii, “A quasilinear evasion problem,” Dokl. Akad. Nauk SSSR,221, No. 3, 539–542 (1975).
P. B. Gusyatnikov, “A differential evasion game,” Kibernetika, No. 4, 72–77 (1978).
P. B. Gusyatnikov, “Evasion and ℓ-evasion in n-person differential game,” Dokl. Akad. Nauk SSSR,232, No. 3, 577–580 (1977).
P. B. Gusyatnikov, “Differential m-person evasion games,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 6, 3–14 (1978).
B. N. Pshenichnyi and A. A. Chikrii, “Evasion in differential games,” Zh. Vychisl. Mat. Mat. Fiz.,14, No. 6, 1416–1427 (1974).
A. A. Chikrii, “Nonlinear evasion problem in terminal set of composite structure,” Prikl. Mat. Mekh., No. 1, 3–11 (1975).
A. A. Chikrii, “Evasion in nonlinear differential games,” Kibernetika, No. 3, 65–68 (1975).
A. A. Chikrii, “Evasion problem in nonstationary differential games,” Prikl. Mat. Mekh., No. 5, 780–787 (1975).
A. A. Chikrii, “Linear evasion problem with several pursuers,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 4, 46–50 (1976).
A. A. Chikrii, “Sufficient conditions for evasion in nonlinear differential games,” Dokl. Akad. Nauk SSSR,241, 547–550 (1978).
A. A. Chikrii, “Sufficient conditions for evasion in nonlinear differential n-person games,” Izv. Akad. Nauk Tekh., Kibern., No. 6, 14–21 (1978).
A. A. Chikrii, “Nonlinear differential evasion games,” Dokl. Akad. Nauk SSSR,246, No. 5, 1051–1055 (1979).
A. A. Chikrii, “On an evasion problem with constrained phase coordinates,” Kibernetika, No. 4, 40–45 (1977).
N. N. Krasovskii and A. I. Subbotin, Positional Differential Games [in Russian], Nauka, Moscow (1974).
F. L. Chernous'ko and A. A. Melikyan, Game Problems of Control and Search [in Russian], Nauka, Moscow (1978).
A. I. Subbotin and A. G. Chentsov, Optimization of Guarantee in Control Problems [in Russian], Nauka, Moscow (1981).
B. N. Pshenichnyi, “Structure of differential games” Dokl. Akad. Nauk SSSR,184, No. 2, 285–287 (1969).
P. Hartman, Ordinary Differential Equations, Wiley, New York (1964).
J. Varga, Optimal Control of Differential and Functional Equations [Russian translation], Nauka, Moscow (1977).
Additional information
Translated from Kibernetika, No. 1, pp. 48–54, January–February, 1984.
Rights and permissions
About this article
Cite this article
Chikrii, A.A. Method of alternating directions in nonlinear differential games of evasion. Cybern Syst Anal 20, 71–82 (1984). https://doi.org/10.1007/BF01068871
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01068871