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A Two-Player Zero-Sum Electromagnetic Differential Game with Uncertainty
NORTH CAROLINA STATE UNIV AT RALEIGH CENTER FOR RESEARCH IN SCIENTIFIC COMPUTATION
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We consider dynamic electromagnetic evasion-interrogation games where the evader can use ferroelectric material coatings to attempt to avoid detection while the interrogator can manipulate the interrogating frequencies to enhance detection. The resulting problem is formulated as a two-player zero-sum dynamic differential game in which the cost functional is based on the expected value of the intensity of the reflected signal. We show that there exists a saddle point for the relaxed form of this dynamic differential game in which the relaxed controls appear linearly in the dynamics governed by a partial differential equation.
APPROVED FOR PUBLIC RELEASE