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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 517.937
V.A. Rusanov,1 A.V. Daneev,2 Yu.E. Linke3

TO THE GEOMETRICAL THEORY OF DIFFERENTIAL IMPLEMENTATION
OF DYNAMIC PROCESSES IN A HILBERT SPACE

Abstract. In the context of the qualitative theory of implementation of infinite-dimensional dynamic systems, the authors demonstrate some results related to investigation of the geometrical properties of families of continuous control dynamic processes ( “input–output” mappings) in the problem of solvability of this differential realization in a class of linear ordinary nonstationary differential equations in a separable Hilbert space.

Keywords: differential implementation, nonstationary (A, B, B#)2-model, OLD- compatibility, DLD-compatibility.



FULL TEXT

1 V. M. Matrosov Institute of Systems Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russia,
e-mail: v.rusanov@mail.ru.

2 Irkutsk State University of Communication Routes, Irkutsk National Research Technical University, Irkutsk, Russia,
e-mail: daneev@mail.ru.

3 Irkutsk National Research Technical University, Irkutsk, Russia,
e-mail: linkeyurij@gmail.com.

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