Such qualitative issues which bound up with existence of a solution for the inverse problem of systems analysis as realization solvability (sufficient conditions) of the operator functions of the polylinear regulator for a non-stationary hyperbolic system, which contains given (finite/countable/continual) nonlinear bundles of infinite-dimensional controlled dynamic processes in the capacity of admissible solutions in a separable Hilbert space, are investigated.

nonlinear realization theory, non-stationary hyperbolic system, polylinear regulator, entropy Rayleigh-Ritz operator.

Received: February 23, 2022; Accepted: April 20, 2022; Published: May 28, 2022

How to cite this article: V. A. Rusanov, A. V. Lakeyev, A. V. Daneev and Yu. É. Linke, Semiadditivity of the entropy Rayleigh-Ritz operator in the problem of realization of an invariant polylinear regulator of a non-stationary hyperbolic system, Advances in Differential Equations and Control Processes 27 (2022), 181-202. http://dx.doi.org/10.17654/0974324322020

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