To the structure identification of a nonlinear regulator for a nonstationary hyperbolic system


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Abstract

Necessary and sufficient conditions are found for the solvability of the inverse problem of realizing a nonstationary polylinear regulator for a hyperbolic system such that all processes in a given bundle (of any cardinality) of nonlinear infinite-dimensional controlled (by means of program and feedback controls) dynamic processes in a separable Hilbert space are its admissible solutions.

About the authors

A. V. Lakeyev

Matrosov Institute of Dynamics and Control Theory, Siberian Branch

Author for correspondence.
Email: lakeyev@icc.ru
Russian Federation, ul. Lermontova 134, Irkutsk, 664033

Yu. É. Linke

Irkutsk National Research Technical University

Email: lakeyev@icc.ru
Russian Federation, ul. Lermontova 83, Irkutsk, 664074

V. A. Rusanov

Matrosov Institute of Dynamics and Control Theory, Siberian Branch

Email: lakeyev@icc.ru
Russian Federation, ul. Lermontova 134, Irkutsk, 664033

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