Results in the theory of linear differential games with an information time lag

The solution to a class of differential games in which one player has imperfect information in the form of a time lag on the availability of the state vector is presented. Open-loop and closed-loop strategies are obtained, and the results are shown to reduce to the well-known perfect-information results as the time lag vanishes. The effect of lag on the existence of the solutions to the game and other important qualitative aspects of the game are discussed.The author would like to acknowledge his gratitude to Professor Celso de Renna e Souza, Department of Electrical Engineering, University of Notre Dame, South Bend, Indiana, who advised and encouraged him during the initial research efforts which led to the work presented herein. This paper is based in part on a portion of the dissertation which the author submitted in partial fulfillment of the requirement for the Ph.D. degree at the University of Notre Dame.