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Invariant Center of Pursuit in One Class of Nonlinear Differential Games (Invariantnyi Tsentr Presledovaniya v Odnon Klasse Nelineinykh Differentsialnykh Igr),
ARMY FOREIGN SCIENCE AND TECHNOLOGY CENTER CHARLOTTESVILLE VA
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In the paper the author proves the existence of an invariant center of pursuit on n-1-dimensional regular surfaces. The existence of such a center implies the existence of the value function and of optimal pure strategies for both players. In addition the complete solution of spherical pursuit is given. Author
APPROVED FOR PUBLIC RELEASE