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Center

Bram van den Broek

Date of Ph.D. defense:June 15, 2001
Title of thesis:Uncertainty in Differential Games
ISBN:90 5668 081 1
Promotors:Prof.dr. Hans Schumacher
Dr. Jacob Engwerda

Abstract:
Differential game theory can be used to model worst-case design problems or to model situations where several interacting authorities make strategic dynamic decisions. In this thesis a number of differential game models has been introduced which can be used to model uncertainty in a differential game framework. These models are based on developments in system and control theory in the areas of model predictive control, disturbance decoupling control, and HÑ control theory. Furthermore, a framework has been introduced in which feedback Nash equilibria for infinite-horizon linear quadratic differential games are completely characterized by certain solutions of a system of coupled algebraic Riccati equations.