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Differential games and optimal pursuit-evasion strategies

Y. C. HoDivision of Engineering and Applied physics, Harvard University, Cambridge, MA, USAA. E. BrysonDivision of Engineering and Applied physics, Harvard University, Cambridge, MA, USASheldon BaronDivision of Engineering and Applied physics, Harvard University, Cambridge, MA, USA
1965en
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In this paper it is shown that variational techniques can be applied to solve differential games. Conditions for capture and for optimality are derived for a class of optimal pursuit-evasion problems. Results are used to demonstrate that the well-known proportional navigation law is actually an optimal intercept strategy.

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