Asymptotic solution of zero-sum linear-quadratic differential game with cheap control for minimizer
type: Item
instance of: scholarly article
title: Asymptotic solution of zero-sum linear-quadratic differential game with cheap control for minimizer
zbMATH Open document ID: 0993.91006
author: Valery Y. Glizer
published in: NoDEA. Nonlinear Differential Equations and Applications
publication date: 2000-11-27T00:00:00Z
review text: The author consideres a zero-sum differential game, where the state variables obey a system of linear differential equations and the cost functional is quadratic in the state variables and the control variables of both players. The control variables of the player who minimizes the cost functional are weighted by a small parameter \(\varepsilon>0\). The asymptotic solution for this problem is established and proved. An example is given which illustrates the general results.
reviewed by: Walter Schlee
Mathematics Subject Classification ID: 91A23
Mathematics Subject Classification ID: 34H05
Mathematics Subject Classification ID: 91A05
zbMATH DE Number: 1508203
zbMATH Keywords: differential game
zbMATH Keywords: 2-person game
MaRDI profile type: Publication
full work available at URL: s000300050006
OpenAlex ID: W2082745938
DOI: 10.1007/S000300050006
description: scientific article; zbMATH DE number 1508203