Contributed Papers

Journal of Optimization Theory and Applications

, Volume 33, Issue 3, pp 401-418

First online:

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

  • U. R. PrasadAffiliated withDepartment of Aeronautical Engineering, Indian Institute of Science
  • , N. RajanAffiliated withISRO Satellite Centre
  • , N. J. RaoAffiliated withSchool of Automation, Indian Institute of Science

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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.

Key Words

Pursuit-evasion game barriers differential games aerial combat