A near-optimal closed-loop solution method for nonsingular zero-sum differential games

  • G. M. Anderson
Contributed Papers


This paper presents a method for generating nearoptimal closed-loop solutions to zero-sum perfect information differential games with and without the final time explicitly specified, and with and without control constraints. This near-optimal closed-loop solution is generated by periodically updating the solution to the two-point boundary-value problem obtained by the application of the necessary conditions for a saddle-point solution. The resulting updated open-loop control is then used between updating intervals. Three examples are presented to illustrate the application of this method.

Key Words

Differential games closed-loop controls numerical methods optimal strategies zero-sum games 


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Copyright information

© Plenum Publishing Corporation 1974

Authors and Affiliations

  • G. M. Anderson
    • 1
  1. 1.Department of MechanicsAir Force Institute of TechnologyWright-Patterson AFB

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