On Positional Control in Integral and Integro-Differential Games of Approach for Systems with Weak Singularities

摘要

We consider a game approach problem for two kinds of conflict-controlled processes. One of them is described by a system of Volterra linear integral equations, and the other - by a system of integro-differential equations. Every system possesses weak singularities. We obtain sufficient conditions of the existence of solution of the considered problem in a class of positional strategies. The results are illustrated with model examples.