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Dynamic Evasion-Interrogation Games with Uncertainty in the Context of Electromagetics

Published online by Cambridge University Press:  28 May 2015

H. T. Banks ,
Shuhua Hu ,
K. Ito  and
Sarah Grove Muccio
H. T. Banks*
Affiliation:
Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695-8212, USA
Shuhua Hu*
Affiliation:
Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695-8212, USA
K. Ito*
Affiliation:
Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695-8212, USA
Sarah Grove Muccio*
Affiliation:
Center for Research in Scientific Computation, North Carolina State University, Raleigh, NC 27695-8212, USA
*
Corresponding author.Email address:htbanks@ncsu.edu
Corresponding author.Email address:shu3@ncsu.edu
Corresponding author.Email address:kito@ncsu.edu
Corresponding author.Email address:Sarah.Muccio@rl.af.mil
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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.

Keywords

35Q6183C5083C2265M32Electromagnetic evasion-pursuituncertaintyfeedback controlcomputational methodsKolmogorov and Fokker-Planck equations
Type
Research Article
Information
Numerical Mathematics: Theory, Methods and Applications , Volume 4 , Issue 3 , August 2011 , pp. 359 - 378
Copyright
Copyright © Global Science Press Limited 2011

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