ON SOLVABILITY OF THE IDENTIFICATION-INVERSE PROBLEM FOR OPERATOR-FUNCTIONS OF A NONLINEAR REGULATOR OF A NONSTATIONARY HYPERBOLIC SYSTEM
Investigated are the issues of solvability (necessary and sufficient conditions) of the problem of realization ofa nonlinear regulator for a nonstationary hyperbolic system, which contains (in the capacity of the admissible solutions) a bundle of nonlinear infinite-dimensional controlled (program control/feedback control) dynamic processes in a separable Hilbert space, this bundle being not bounded with respect to the power. On the basis of obtained results, a problem of angular invariant extension of the bundles having a common regulator has been investigated.
hyperbolic system, differential realization, existence of program-position regulator.