Planar pursuit-evasion with variable speeds, part 1, extremal trajectory maps

Prasad, UR and Rajan, N and Rao, NJ (1981) Planar pursuit-evasion with variable speeds, part 1, extremal trajectory maps. In: Journal of Optimization Theory and Applications, 33 (3). pp. 401-418.

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Abstract

Pursuit evasion in a plane is formulated with both players allowed to vary their speeds between fixed limits. A suitable choice of real-space coordinates confers open-loop optimality on the game. The solution in the small is described in terms of the individual players'' extremal trajectory maps (ETM). Each map is independent of role, adversary, and capture radius. An ETM depicts the actual real-space trajectories. A template method of generating constant control arcs is described. Examples of ETM for an aircraft flying at a constant altitude with fixed and varying speeds are presented.

Item Type:	Journal Article
Publication:	Journal of Optimization Theory and Applications
Publisher:	Springer
Additional Information:	Copyright of this article belongs to Springer.
Department/Centre:	Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited:	04 Jan 2010 06:49
Last Modified:	19 Sep 2010 05:47
URI:	http://eprints.iisc.ac.in/id/eprint/23717

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