Differential game of simple convergence on manifolds

A. A. Melikyan, N. V. Ovakimyan

Research output: Contribution to journalArticlepeer-review


Game problem is considered, where players are two velocity controlled points of manifolds with unconfluent matrics. Minimal distance between players on semi-infinite time interval motion is the game value. The first player minimizes the game value, the second one maximizes it. Game phase space division into subregions is suggested. Initial distance between players is the value in one of subregions (primary), for another one (secondary) the value is less than the initial distance. It is shown, that primary region boundary consists of peculiar optimal motions and the convergence of regular trajectories takes place from both of sides of the boundary.

Original languageEnglish (US)
Pages (from-to)41-51
Number of pages11
JournalPrikladnaya Matematika i Mekhanika
Issue number1
StatePublished - Jan 1993
Externally publishedYes

ASJC Scopus subject areas

  • Applied Mathematics


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