Advances in Differential Equations and Control Processes
Volume 16, Issue 2, Pages 71 - 84
(November 2015) http://dx.doi.org/10.17654/DE016020071 |
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ON SOLVABILITY OF THE IDENTIFICATION-INVERSE PROBLEM FOR OPERATOR-FUNCTIONS OF A NONLINEAR REGULATOR OF A NONSTATIONARY HYPERBOLIC SYSTEM
V. A. Rusanov, A. V. Daneev, A. V. Lakeev and Yu. É. Linke
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Abstract: 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. |
Keywords and phrases: hyperbolic system, differential realization, existence of program-position regulator. |
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