Higher-order differential realization of polylinear-controlled dynamic processes in a Hilbert space. (English) Zbl 1428.93033
Summary: For a posteriori family (with the cardinality (\(\leq\mathrm{exp}\,\aleph_0\)) of “input-output” processes, we investigate necessary and sufficient conditions for existence of nonlinear differential realization (with a minimum dynamic order) in the class of autonomous polylinear higher-order differential equations in a separable Hilbert space.
MSC:
| 93B15 | Realizations from input-output data |
| 93B30 | System identification |
| 93C25 | Control/observation systems in abstract spaces |
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