Sufficient Existence Conditions for Linear Differential Games with Incomplete Information

For linear differential games of two players, we consider the pursuit problem with incomplete information about the phase vector of the game. We find initial positions of the game for which there exists a control of the first player guaranteeing termination of the game for a finite period of time fo...

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Bibliographic Details
Published in:Computational mathematics and modeling 2014-04, Vol.25 (2), p.185-203
Main Author: Rumyantsev, A. E.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Computation
Computational Mathematics and Numerical Analysis
Differential games
Games
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mathematics
Mathematics and Statistics
Optimization
Players
Vectors (mathematics)
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Summary:For linear differential games of two players, we consider the pursuit problem with incomplete information about the phase vector of the game. We find initial positions of the game for which there exists a control of the first player guaranteeing termination of the game for a finite period of time for any admissible control of the second player.
ISSN:1046-283X
1573-837X
DOI:10.1007/s10598-014-9219-0