A. V. Lakeev, V. A. Rusanov, V. A. Kozyrev, “On realization of quasi-linear systems described by stationary differential equations in Hilbert space”, Probl. Upr., 2013, Issue 1,Pages <nobr>7

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Analysis and synthesis of control systems

On realization of quasi-linear systems described by stationary differential equations in Hilbert space

A. V. Lakeev^a, V. A. Rusanov^a, V. A. Kozyrev^b

^a Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk
^b Irkutsk State University of Railway Engineering

Abstract: A continuous nonlinear infinite-dimensional dynamic system is considered. The system is defined in terms of the language of its behavior of «input–output» (a model of «black box») type. Various functional-analytical criteria of realization of this system in the separable Hilbert space in the class of quasi-linear stationary differential models with program-positional control are proposed

Keywords: nonlinear differential realization, autonomous $(A, B, B^\#)_2$-model, $M_2$-extension.

UDC: 517.93;517.937