A FINITE CHARACTER GEOMETRICAL PROPERTY OF THE DIFFERENTIAL REALIZATION OF A SET OF DYNAMIC PROCESSES IN A HILBERT SPACE
The paper demonstrates some results related to investigation of a finite character geometrical property typical of the differential realization of a set of dynamic processes in a Hilbert space (mappings of the type “input-output”) in the problem of solvability of this differential realization in a class of ordinary linear nonstationary differential equations in a separable Hilbert space.
behavioral system, differential realization, OLD-compatibility, DLD-compatibility.