A computer realization of control-with-guide procedures

Abstract

Positional differential games of pursuit with target for-conflict-control systems, non-linear with respect to the phase vector, are considered. The problems investigated are approximate construction of the set of positional absorption and construction of control procedures guaranteeing guidance to the target. Issues relating to the development of algorithms for the approximate construction of the positional absorption set and control-with-guide procedures [1–4] are also examined. As an example to illustrate the possibilities of the algorithms considered, a pursuit game of the Homicidal Chauffeur type [5] is considered, with approximate computation of positional absorption sets in the problem of pursuit over a fixed time interval for several parameter sets. Motions of a conflict-control system that generate a control-with-guide procedure are computed for several specific initial values of the phase vector and several choices of the evader's control.