Algorithm for piecewise-linear approximation of the reachable set boundary

The studies and approaches to estimating the reachable sets of the control systems were reviewed in brief. An algorithm for piecewise-linear approximation of the boundary of the reachable set was proposed on the basis of solving a special problem of optimal control in terms of the criterion of volume maximum of the corresponding estimate of the reachable set. The results of computer experiments were presented.

Presented by the member of Editorial Board: V. I. Gurman