A Numerical Method for Solving Time-Optimal Differential Games with a Lifeline

Author:

Munts N.V.,Kumkov S.S.

Publisher

Pleiades Publishing Ltd

Subject

Control and Systems Engineering,Electrical and Electronic Engineering

Reference23 articles.

1. Isaacs, R.Differential Games. A Mathematical Theory with Applications to Warfare and Pursuit, Control and Optimization, New York: Wiley, 1965. Translated under the title Differentsial’nye igry, Moscow: Mir, 1967.

2. Dutkevich, Yu. G. & Petrosjan, L. A. Games with a Life-line. The Case of l-capture. SIAM J. Control 10(no. 1), 40–47 (1972).

3. Krasovskii, N. N. & Subbotin, A. I. Pozitsionnye differentsialanye igry (Positional Differential Games). (Nauka, Moscow, 1974).

4. Munts, N.V. and Kumkov, S.S., On the Coincidence of the Minimax Solution and the Value Function in a Time-Optimal Game with a Lifeline, Proc. Steklov Inst. Math., 2019, vol. 305, suppl. 1, S125-S139.

5. Petrosjan, L. A. Dispersion Surfaces in One Family of Pursuit Games. Dokl. Akad. Nauk Arm. SSR 43(no. 4), 193–197 (1966).

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