Dynamic Evasion-Interrogation Games with Uncertainty in the Context of Electromagnetics |
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Authors: | H T Banks Shuhua Hu K Ito & Sarah Grove Muccio |
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Abstract: | We consider two player electromagnetic evasion-pursuit games where each player must incorporate
significant uncertainty into their design strategies to disguise
their intension and confuse their opponent. In this paper, the
evader is allowed to make dynamic changes to his strategies in
response to the dynamic input with uncertainty from the
interrogator. The problem is formulated in two different ways. One
is based on the evolution of the probability density function of
the intensity of reflected signal and leads to a controlled forward Kolmogorov or Fokker-Planck equation. The other formulation is based on the
evolution of expected value of the intensity of reflected signal and leads to controlled backward Kolmogorov equations.
In addition, a number of numerical results are presented to
illustrate the usefulness of the proposed approach in exploring
problems of control in a general dynamic game setting. |
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Keywords: | Electromagnetic evasion-pursuit uncertainty feedback control computational methods Kolmogorov and Fokker-Planck equations |
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