 Cybernetics and Systems Analysis /  Issue (2017, 53 (4))
Rusanov V.A.,
Daneev A.V.,
Linke Y.E.
To the geometrical theory of differential implementation of dynamic processes in a Hilbert space In the context of the qualitative theory of realization of infinite-dimensional dynamic systems, the authors demonstrate some results related to investigation of the geometrical properties of families of continuous controlled dynamic processes (“input–output” mappings) in the problem of solvability of this differential realization in a class of linear ordinary non-stationary differential equations in a separable Hilbert space. © 2017, Springer Science+Business Media, LLC. Keywords: differential realization, DLD-compatibility, nonstationary (A, B, B#)2-model, OLD-compatibility, Differential equations, Hilbert spaces, Vector spaces, Controlled dynamics, differential realization, DLD-compatibility, Geometrical property, Infinite dimensional, Nonstationary, OLD-compatibility, Separable Hilbert space, Ordinary differential equations
Cite:
Rusanov V.A.,
Daneev A.V.,
Linke Y.E.
(2017). To the geometrical theory of differential implementation of dynamic processes in a Hilbert space. Cybernetics and Systems Analysis, 53 (4), 71-83. doi: https://doi.org/10.1007/s10559-017-9957-z http://jnas.nbuv.gov.ua/article/UJRN-0000719122 [In Russian]. |
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