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.
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.