Accession Number:

AD0756647

Title:

The Control Dynamics of a Loop in (R sup 2) and Related Differential Game-Theoretic Problems

Descriptive Note:

Technical rept.

Corporate Author:

VIRGINIA UNIV CHARLOTTESVILLE DEPT OF APPLIED MATHEMATICS AND COMPUTER SCIENCE

Personal Author(s):

Report Date:

1973-01-01

Pagination or Media Count:

9.0

Abstract:

A distributed parameter model for a class of search and capture problems in the plane is derived. The output is a time-varying simple loop in R sup 2 and the input a moving line segment. The applications discussed include destroyer search, oil spill clearance, forest fire control and fishing. Circular motion is shown to produce a non-trivial steady-state region whenever the velocity ratio between searcher and evader attains a computed critical value.

Subject Categories:

  • Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE