A. V. Lakeev, Yu. E. Linke, V. A. Rusanov, “On the solvability of the problem of realization of the operator functions of a nonlinear regulator of a second-order dynamical system”, Sib. Zh. Ind. Mat., 2015, Volume 18, Number 4,Pages <nobr>61

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On the solvability of the problem of realization of the operator functions of a nonlinear regulator of a second-order dynamical system

A. V. Lakeev^a, Yu. E. Linke^b, V. A. Rusanov^a

^a Matrosov Institute for System Dynamics and Control Theory SB RAS, 134 Lermontov st., 664033 Irkutsk
^b National Research Irkutsk State Technical University, 83 Lermontov st., 664074 Irkutsk

Abstract: We study solvability of the problem of the realization of a nonlinear program-position regulator for a nonstationary second-order dynamical system which contains (as admissible solutions) a bundle of nonlinear infinite-dimensional controlled dynamical processes in a separable Hilbert space.

Keywords: inverse problem of system analysis, nonlinear differential realization.

UDC: 517.938.5

Received: 20.04.2015

DOI: 10.17377/sibjim.2015.18.407