Automation and Remote Control

, Volume 62, Issue 8, pp 1259–1262 | Cite as

A Pursuit Problem under Phase Constraints

  • A. Sh. Kuchkarov
  • B. B. Rikhsiev


A pursuit problem in which players have identical maximal velocity and the evader moves over a strictly convex smooth n-dimensional hypersurface is investigated. It is shown that pursuit can be completed from any initial position. If the hypersurface contains a planar part, then pursuit can be evaded from certain initial positions.


Mechanical Engineer System Theory Initial Position Maximal Velocity Planar Part 
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Copyright information

© MAIK “Nauka/Interperiodica” 2001

Authors and Affiliations

  • A. Sh. Kuchkarov
    • 1
  • B. B. Rikhsiev
    • 1
  1. 1.Romanovskii Institute of MathematicsTashkentUzbekstan

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