An Analytic and Numerical Investigation of a Differential Game

In this paper we present an appropriate singular, zero-sum, linear-quadratic differential game. One of the main features game is that weight matrix minimizer’s control cost in functional singular. Due to singularity, cannot be solved either by applying Isaacs MinMax principle, or Bellman–Isaacs equation approach. As application, introduced interception with regularized and developed dual representation. By developing variational derivatives functional, apply Popov’s approximation method show how numerical results coincide