Rusanov, V. A.; Daneev, A. V.; Lakeev, A. V.; Linke, Yu. É. On solvability of the identification-inverse problem for operator-functions of a nonlinear regulator of a nonstationary hyperbolic system. (English) Zbl 1347.93081 Adv. Differ. Equ. Control Process. 16, No. 2, 71-84 (2015). Summary: 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 the obtained results, a problem of angular invariant extension of the bundles having a common regulator has been investigated. Cited in 7 Documents MSC: 93B15 Realizations from input-output data 93B30 System identification Keywords:hyperbolic system; differential realization; existence of program-position regulator PDFBibTeX XMLCite \textit{V. A. Rusanov} et al., Adv. Differ. Equ. Control Process. 16, No. 2, 71--84 (2015; Zbl 1347.93081) Full Text: DOI Link