Abstract
Necessary conditions and sufficient conditions are employed to deduce optimal strategies for a simple differential game with state equationd 2 x/dt 2=au+v,a = Const, |u|≤1, |v|≤1, fixed transfer time, and terminal miss distance as payoff.
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References
Isaacs, R.,Differential Games, John Wiley and Sons, New York, 1965.
Berkovitz, L.,A Variational Approach to Differential Games, Advances in Game Theory, Edited by M. Dresher, L. S. Shapley, and A. W. Tucker, Princeton University Press, Princeton, New Jersey, 1964.
Berkovitz, L.,Necessary Conditions for Optimal Strategies in a Class of Differential Games and Control Problems, SIAM Journal on Control, Vol. 5, No. 1, 1967.
Leitmann, G., andMon, G.,Some Geometric Aspects of Differential Games, Journal of the Astronautical Sciences, Vol. 14, No. 2, 1967.
Leitmann, G., andMon, G.,On a Class of Differential Games, paper presented at the Colloquium on Advanced Problems and Methods for Space Flight Optimization, Liège, Belgium, 1967.
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This work was supported by the National Aeronautics and Space Administration, Contract No. NAS 12–114.
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Leitmann, G. A simple differential game. J Optim Theory Appl 2, 220–225 (1968). https://doi.org/10.1007/BF00937367
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DOI: https://doi.org/10.1007/BF00937367