Abstract
A sufficient condition for the strict evadability of nonlinear differential evasion games is obtained. The result complements, in some sense, the relevant results obtained by the author in a previous paper. An illustrative example is discussed as well.
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Káskosz, B.,On a Nonlinear Evasion Problem, SIAM Journal on Control and Optimization, Vol. 15, pp. 661–673, 1977.
Ostapenko, V. V.,A Nonlinear Escape Problem, Kibernetika (Kiev), No. 4, pp. 106–112, 1978; English Translation in Cybernetics, Vol. 14, pp. 594–601, 1978.
Pontryagin, L. S.,On the Evasion Process in Differential Games, Applied Mathematics and Optimization, Vol. 1, pp. 5–19, 1974.
Pshenichnyi, B. N.,The Flight Problem, Cybernetics, Vol. 11, pp. 642–651, 1975.
Satimov, N.,On the Theory of Differential Games of Escape, Mathematics of the USSR Sbornik, Vol. 32, pp. 371–383, 1977.
Yong, J.,On Differential Evasion Games, SIAM Journal on Control and Optimization (to appear).
Yong, J.,On the Evadable Sets of Differential Evasion Games, Journal of Mathematical Analysis and Applications (to appear).
Yong, J.,Evasion with Weak Superiority, Journal of Mathematical Analysis and Applications (to appear).
Yong, J.,On Differential Pursuit Games (to appear).
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Communicated by L. D. Berkovitz
The author thanks Professor L. D. Berkovitz for some discussions.
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Yong, J. A sufficient condition for the evadability of differential evasion games. J Optim Theory Appl 57, 501–509 (1988). https://doi.org/10.1007/BF02346166
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DOI: https://doi.org/10.1007/BF02346166