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To the structure identification of a nonlinear regulator for a nonstationary hyperbolic system. (English. Russian original) Zbl 06646143
Dokl. Math. 93, No. 3, 339-343 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 468, No. 2, 143-148 (2016).
Summary: 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.

MSC:
35L Hyperbolic equations and hyperbolic systems
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