On a differential interception game
type: Item
instance of: scholarly article
title: On a differential interception game
zbMATH Open document ID: 1200.91037
DOI: 10.1134/S008154381001013X
author: N. N. Krasovskii
author: A. N. Kotel'nikova
published in: Proceedings of the Steklov Institute of Mathematics
publication date: 2010-11-01T00:00:00Z
review text: This paper surveys the work of the senior author (Krasovskii) over the past 35 years in the area of differential games. The main mathematical result gives necessary and sufficient conditions for the existence of a value for the differential interception game. The paper also sketches an algorithm for computing this value.
Mathematics Subject Classification ID: 91A23
Mathematics Subject Classification ID: 49N70
Mathematics Subject Classification ID: 91A43
Mathematics Subject Classification ID: 91-02
zbMATH DE Number: 5809101
zbMATH Keywords: differential game
zbMATH Keywords: interception game
zbMATH Keywords: Pontryagin's concept
zbMATH Keywords: minimax control
zbMATH Keywords: maximin control
MaRDI profile type: Publication
cites work: Q3245655
cites work: Q5331036
cites work: Introduction to the mathematical theory of control processes. Vol I: Linear equations and quadratic criteria
cites work: Q4725216
cites work: Q3921043
cites work: Q4326169
cites work: Q5586678
cites work: Q5531260
cites work: Viscosity Solutions of Hamilton-Jacobi Equations
cites work: The convergence problem for differential games
cites work: Q4404083
cites work: Stochastic stability and control
full work available at URL: s008154381001013x
OpenAlex ID: W2006142978
description: scientific article; zbMATH DE number 5809101