Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A differential game is described where the opponents are a missile and a radar. The problem is formulated so that linear theory can be used in finding the optimal strategies of both opponents. The missile uses a mixed strategy by adding white noise into its controller. The statistics of this noise (the covariance completely describes the noise) can be controlled. In finding the optimal strategy for the covariance of the controller noise, the solution by means of the calculus of variations involves a singular arc.
['Jason L. Speyer']
I am writing a research paper on a idea A Stochastic Differential Game with Controllable Statistical Parameters
[{"from": "human", "value": "I am writing a research paper on a idea A Stochastic Differential Game with Controllable Statistical Parameters"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: A differential game is described where the opponents are a missile and a radar. The problem is formulated so that linear theory can be used in finding the optimal strategies of both opponents. The missile uses a mixed strategy by adding white noise into its controller. The statistics of this noise (the covariance completely describes the noise) can be controlled. In finding the optimal strategy for the covariance of the controller noise, the solution by means of the calculus of variations involves a singular arc."}]