A Two-Player Zero-Sum Electromagnetic Differential Game with Uncertainty

Abstract

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.

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Document Details

Document Type
Technical Report
Publication Date
Sep 18, 2010
Accession Number
ADA556875

Entities

People

  • H. Thomas Banks
  • Shuhua Hu

Organizations

  • North Carolina State University

Tags

Communities of Interest

  • Advanced Electronics
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Banach Space
  • Differential Equations
  • Electromagnetic Scattering
  • Equations
  • Equations Of State
  • Frequency
  • Intensity
  • Interrogation
  • Interrogators
  • Kolmogorov Equations
  • Materials
  • Mathematics
  • Probability
  • Stochastic Processes
  • Topology
  • Uncertainty

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Game Theory.