On targeting an integral funnel of control system at a target set in the phase space

A control system in finite-dimensional Euclidean space is considered. On a given time interval, we investigate the problem of constructing an integral funnel for which a section corresponding to the last time moment of interval is equal to a target set in a phase space. Since the exact solution of such a funnel is possible only in rare cases, the question of the approximate construction of an integral funnel is being studied.
The research was performed using computing resources of the collective use center of IMM UB RAS “Supercomputer center of IMM UB RAS”.