Formation of positional strategies for a differential game in Krasovskii's method of extremal aiming

The problem of estimating the accuracy of linear system control algorithms on a finite time interval in the presence of initial and time-varying perturbations is considered from the standpoint of maximin testing methods. A method of forming the positional strategies of testing based on a modification of the Krasovskii's "extremal aiming" method is proposed. It is shown by an example that the convex reachable set of a controlled system has a multiextremal support function.