Problem of retention in differential games


  • S. N. Amirhalieva
  • V. V. Ostapenko
  • I. N. Tereshchenko


Differential games of retention are considered, in which the purpose of a catching player is to keep the trajectory of the controlled differential equation in the given closed subset of the euclidian space. The purpose of an escaping player is opposite. Cases of simple movement and movement with a simple matrix have been investigated. In the general linear case, the H-convex sets method is applied.

Author Biographies

S. N. Amirhalieva

Amirhalieva S.N.

V. V. Ostapenko

Ostapenko V.V.

I. N. Tereshchenko

Tereshchenko I.N.



Methods of optimization, optimum control and theory of games