Syntheses of differential games and pseudo-Riccati equations

For differential games of fixed duration of linear dynamical systems with nonquadratic payoff functionals, it is proved that the value and the optimal strategies as saddle point exist whenever the associated pseudo-Riccati equation has a regular solution P(t,x). Then the closed-loop optimal strategi...

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Bibliographic Details
Main Author: Yuncheng You
Format: Article
Language:English
Published: Hindawi Limited 2002-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337502000817