SEMIADDITIVITY OF THE ENTROPY RAYLEIGH-RITZ OPERATOR IN THE PROBLEM OF REALIZATION OF AN INVARIANT POLYLINEAR REGULATOR OF A NON-STATIONARY HYPERBOLIC SYSTEM

V. A.Rusanov; A. V.Lakeyev; A. V.Daneev; Yu. É.Linke

V. A.Rusanov Matrosov Institute for System Dynamics and Control Theory of the Siberian Branch of the Russian Academy of Sciences (ISDCT SB RAS), Irkutsk, Russia
A. V.Lakeyev Matrosov Institute for System Dynamics and Control Theory of the Siberian Branch of the Russian Academy of Sciences (ISDCT SB RAS), Irkutsk, Russia
A. V.Daneev Irkutsk State Transport University, Irkutsk, Russia
Yu. É.Linke Irkutsk National Research Technical University, Irkutsk, Russia

Article ID: 2557

Keywords: nonlinear realization theory; non-stationary hyperbolic system; polylinear regulator; entropy Rayleigh-Ritz operator

Abstract

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.

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