Methods for building in invariant sets in linear differential games of deduction


  • V. V. Ostapenko
  • I. M. Tereshchenko


The constructive methods for building minimal and maximal invariant sets in the discrete case are described. The aim of the chasing player is to keep the trajectory of dynamic system in this set from any point within the acquired set. The aim of the escaping player is contrary. The given example shows the importance of different conditions of "a complete sweeping", superimposing on the players' control.

Author Biographies

V. V. Ostapenko

Остапенко В.В.

I. M. Tereshchenko

Терещенко І.М.



Methods of optimization, optimum control and theory of games