Abstract
We consider dynamical systems subject to control by two agents, one of whom desires that no trajectory of the system, emanating from outside a given set, intersects the set, no matter what the admissible actions of the other agent. Conditions are given whose satisfaction assures that a given control results in avoidance. Furthermore, these conditions are constructive in that they yield an avoidance feedback control. Some examples are presented.
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Getz, W. M., andLeitmann, G.,Qualitative Differential Games with Two Targets, Journal of Mathematical Analysis and Applications (to appear).
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Leitmann, G., Skowronski, J. Avoidance control. J Optim Theory Appl 23, 581–591 (1977). https://doi.org/10.1007/BF00933298
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DOI: https://doi.org/10.1007/BF00933298