Formation of Positional Strategies for a Differential Game in Krasovskii's Method of Extremal Aiming / S. S. Lemak. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2015. № 6. P. 61-65 [Moscow Univ. Mech. Bulletin. Vol. 72, N 2, 2017. P. 157-160].
The problem of estimating the accuracy of control algorithms for a linear system 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 Krasovskii's method of extremal aiming is proposed. It is shown by an example that the convex reachable set of a control system has a multiextremal support function.
Key words: robust stabilization, maximin testing, differential game, saddle point.