Abstract
In this paper we study linear differential games described by a systemof linear differential equations with delay subject to certain geometric constraints on the control parameters of the players. We obtain sufficient conditions for terminating the pursuit in a finite time.
Similar content being viewed by others
References
L. S. Pontryagin, Selected Papers (Nauka, Moscow, 1988), Vol. 2 [in Russian].
Yu. S. Osipov, “Linear Differential-Difference Games,” Sov. Phys. DOkl. 197(5), 1022–1025 (1971).
M. S. Nikol’skii, “Linear Differential Games of Pursuits with Lags,” Differents. Uravn. 8(2), 260–267 (1972).
A. A. Chikrii and G. Ts. Chikrii, “Group Pursuit in Differential-Difference Games,” Differents. Uravn. 20(5), 802–810 (1984).
N. Yu. Satimov, “On the Pursuit Problem in Differential-Difference Games,” Prikl. Mat. Mekh. 38(1), 38–44 (1974).
N. L. Grigorenko, Mathematical Control Methods for Several Dynamic Processes (Mosk. Gos. Univ., Moscow, 1990), Vol. 2 [in Russian].
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © N.A. Mamadaliev, 2010, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, No. 6, pp. 16–22.
About this article
Cite this article
Mamadaliev, N.A. Pursuit problems in linear differential games with delay. Russ Math. 54, 13–18 (2010). https://doi.org/10.3103/S1066369X10060022
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1066369X10060022