Title :
The control dynamics of a loop in R2 and related differential game-theoretic problems
Author_Institution :
University of Virginia, Charlottesville, Virginia
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 R2 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.
Keywords :
Fires; Petroleum; Steady-state;
Conference_Titel :
Decision and Control, 1972 and 11th Symposium on Adaptive Processes. Proceedings of the 1972 IEEE Conference on
Conference_Location :
New Orleans, Louisiana, USA
DOI :
10.1109/CDC.1972.269018
