Abstract
For a nonlinear antagonistic two-person differential game on a manifold, we propose a method for the solution of the pursuit problem and determine the time of guaranteed capture.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
L. S. Pontryagin and A. S. Mishchenko, “A linear differential pursuit game (analytic theory)”, Mat. Sb. 13, No. 12, 131-158 (1986).
N. N. Krasovskii and A. I. Subbotin, Positional Differential Games [in Russian], Nauka, Moscow (1974).
B. N. Pshenichnyi and V. V. Ostapenko, Differential Games [in Russian], Naukova Dumka, Kiev (1992).
A. A. Chikrii, Conflicting Control Processes [in Russian], Naukova Dumka, Kiev (1992).
N. L. Grigorenko, Mathematical Methods for Control over Several Dynamical Processes [in Russian], Moscow University, Moscow (1990).
A. A. Agrachev and R. V. Gamkrelidze, “Exponential representation of flows and chronological calculus”, Mat. Sb. 107, No. 4, 467-532 (1978).
R. V. Gamkrelidze, A. A. Agrachev, and S. A. Vakhrameev, “Ordinary differential equations on vector bundles and chronological calculus,” in: VINITI Series in Contemporary Problems in Mathematics [in Russian], Vol. 35, VINITI, Moscow (1989), pp. 5-107.
J.-P. Aubin and A. Cellina, Differential Inclusions Springer, Heidelberg (1984).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Komleva, T.A. On the Time of Completion of Pursuit in One Nonlinear Differential Game. Ukrainian Mathematical Journal 53, 814–821 (2001). https://doi.org/10.1023/A:1012542719855
Issue Date:
DOI: https://doi.org/10.1023/A:1012542719855