Advances in Differential Equations and Control Processes
Volume 19, Issue 3, Pages 263 - 274
(August 2018) http://dx.doi.org/10.17654/DE019030263 |
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HIGHER-ORDER DIFFERENTIAL REALIZATION OF POLYLINEAR-CONTROLLED DYNAMIC PROCESSES IN A HILBERT SPACE
V. A. Rusanov, A. V. Daneev, A. V. Lakeyev and V. N. Sizykh
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Abstract: For a posteriori family the cardinality 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. |
Keywords and phrases: “input-output” process, behavioral dynamic system, polylinear MDO-realization. |
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