  A defender-attacker-target problem with non-moving target is considered. This
problem is modeled by a pursuit-evasion zero-sum differential game with linear
dynamics and quadratic cost functional. In this game the pursuer is the
defender, while the evader is the attacker. The objective of the pursuer is to
minimize the cost functional, while the evader has two objectives: to maximize
the cost functional and to keep a given terminal state inequality constraint.
The open-loop saddle point solution of this game is obtained in the case where
the transfer functions of the controllers for the defender and the attacker are
of arbitrary orders. Then, this result is applied to the case of the first
order controllers for the defender and the attacker. Numerical illustrating
examples are presented.
