English, Article edition: SOLVABILITY OF LINEAR-QUADRATIC DIFFERENTIAL GAMES ASSOCIATED WITH PURSUIT-EVASION PROBLEMS JOSEF SHINAR; VLADIMIR TURETSKY; VALERY Y. GLIZER; ...

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Bookmark: http://trove.nla.gov.au/version/18345
Physical Description
  • article
Language
  • English

Edition details

Title
  • SOLVABILITY OF LINEAR-QUADRATIC DIFFERENTIAL GAMES ASSOCIATED WITH PURSUIT-EVASION PROBLEMS
Author
  • JOSEF SHINAR
  • VLADIMIR TURETSKY
  • VALERY Y. GLIZER
  • EDUARD IANOVSKY
Physical Description
  • article
Notes
  • A finite horizon zero-sum linear-quadratic differential game with a generalized cost functional, involving a Lebesgue integral with a measure that has both discrete and distributed parts, is considered. Sufficient conditions for the solvability of such a game are established in terms of the eigenvalues of an integral operator in Hilbert space. The game solution is based on solving an impulsive Riccati matrix differential equation. These results are applied for two games associated with pursuit-evasion problems. Illustrative examples are presented.
  • Linear-quadratic differential game, solvability conditions, pursuit-evasion, Subject Classification: 49N70, Subject Classification: 49N90, Subject Classification: 91A23
  • RePEc:wsi:igtrxx:v:10:y:2008:i:04:p:481-515
Language
  • English
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