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Probl. Upr., 2013, Issue 1, Pages 7–18 (Mi pu771)  

Analysis and synthesis of control systems

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

A. V. Lakeeva, V. A. Rusanova, V. A. Kozyrevb

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.

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UDC: 517.93;517.937

Citation: 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, no. 1, 7–18

Citation in format AMSBIB
\Bibitem{LakRusKoz13}
\by A.~V.~Lakeev, V.~A.~Rusanov, V.~A.~Kozyrev
\paper On realization of quasi-linear systems described by stationary differential equations in Hilbert space
\jour Probl. Upr.
\yr 2013
\issue 1
\pages 7--18
\mathnet{http://mi.mathnet.ru/pu771}


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