About driving a hyperbolic system to implementation with a polylinear invariant regulator to two differently adjustable trajector beams

For two differently adjustable beams (finite, countable, or even continuous) controlled trajectory curves of the "trajectory, control" type, induced by a given non-stationary hyperbolic system, but with different multilinear controllers, it is shown that if the non-linear functional Rayleigh-Ritz operator is semi-additive on the linear shell from the union of these sheaves, then the problem of the existence of a common (invariant) non-stationary multilinear controller, in the presence of which in the structure of this hyperbolic system, the union of these trajectory bundles is contained in the family of its admissible solutions. An illustrative example is provided.