Switching surfaces in linear differential games

Abstract

In this paper, we consider linear (in dynamics) conflict control problems (linear antagonistic differential games) with a fixed instant of termination and a continuous terminal cost function. We formulate and prove assertions on sufficient conditions under which such a method guarantees the obtaining of a result close to optimal by the minimizing player and has the stability property. In the concluding part of the paper, we give a brief description of publications devoted to computer modeling by using the proposed control method.