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.
Descriptors:
Subject Categories:
- Operations Research