New results in the theory of differential games with information time lag

The results contained herein provide a rigorous formulation of a broad class of differential games with information time lag and present a theoretical analysis for treating such games. This analysis extends the so-called Hamilton-Jacobi theory of optimal control and the main equation analysis developed by Isaacs to treat differential games with information time lag. Necessary and sufficient conditions satisfied by thepotential value function are developed to indicate the strategy-synthesis procedure for differential games with information time lag.