A linear differential game with bounded controls and two information delays

The problem of intercepting a maneuvering target by a guided interceptor is considered. It is assumed that the interceptor gets the information on the relative velocity and the target lateral acceleration with time delays. This problem is formulated as a zero-sum differential game with information delays. By using the uncertainty set concept, this differential game is transformed to a new perfect information differential game with a delayed dynamics. The solution of this game is derived, yielding the interception strategy. Illustrative examples are presented. Copyright © 2008 John Wiley & Sons, Ltd.