Transactions of the Society of Instrument and Control Engineers
Online ISSN : 1883-8189
Print ISSN : 0453-4654
ISSN-L : 0453-4654
A New Approach to the Proof of Minimax Principle in Qualitative Differential Games
Koichi MIZUKAMIHansheng WU
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1986 Volume 22 Issue 12 Pages 1243-1247

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Abstract
In this paper, we give another simple method of the proof on the “minimax principle” in the qualitative differential games. By making the assumption on the convexity in the paper, our proof becomes particularly straightforward and simple. Because the method used here is also valid for piecewise continuous control functions with bounded magnitudes, the limitation of that the principle is only valid “in the small” may be untied. In addition, we also make the statement of the qualitative differential game problem more general by means of measures.
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