Differential games of fixed duration with state constraints
type: Item
instance of: scholarly article
title: Differential games of fixed duration with state constraints
zbMATH Open document ID: 0699.90103
DOI: 10.1007/BF00940068
author: K. Haji-Ghassemi
published in: Journal of Optimization Theory and Applications
publication date: 1991-01-01T00:00:00Z
review text: We consider differential games of fixed duration with phase coordinate restrictions on the players. Results contained in another paper of the author [SIAM J. Control Optimization 28, No.3, 624-652 (1990)] on games with phase restrictions on only one of the players are extended. Using \textit{L. D. Berkovitz}'s definition of a game [ibid. 23, 172-196 (1985; Zbl 0572.90108)], we prove the existence and continuity (or Lipschitz continuity) of the value under appropriate assumptions. We also note that the value can be characterized as the viscosity solution of the associated Hamilton-Jacobi-Isaacs equation.
Mathematics Subject Classification ID: 91A23
zbMATH DE Number: 4147890
zbMATH Keywords: value function
zbMATH Keywords: differential games of fixed duration
zbMATH Keywords: phase coordinate restrictions
zbMATH Keywords: existence
zbMATH Keywords: continuity
zbMATH Keywords: viscosity solution
zbMATH Keywords: Hamilton-Jacobi- Isaacs equation
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4147890