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Advances in Differential Equations and Control Processes

Advances in Differential Equations and Control Processes
Volume 19, Issue 3, Pages 263 - 274 (August 2018)
http://dx.doi.org/10.17654/DE019030263

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

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.