Realization of a polylinear controller as a second-order differential system in a Hilbert space

We study the solvability of the inverse nonlinear system analysis problem viewed as qualitative solvability (necessary and sufficient conditions) of a realization of a time-varying polylinear controller as a second-order differential system whose admissible solutions include a given nonlinear pencil...

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Veröffentlicht in:	Differential equations 2017-08, Vol.53 (8), p.1070-1081
Hauptverfasser:	Lakeyev, A. V., Linke, Yu. E., Rusanov, V. A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Control Theory Difference and Functional Equations Differential equations Hilbert space Mathematics Mathematics and Statistics Nonlinear analysis Nonlinear systems Ordinary Differential Equations Partial Differential Equations Qualitative analysis Quantum theory
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Beschreibung
Zusammenfassung:	We study the solvability of the inverse nonlinear system analysis problem viewed as qualitative solvability (necessary and sufficient conditions) of a realization of a time-varying polylinear controller as a second-order differential system whose admissible solutions include a given nonlinear pencil of arbitrary (finite, countable, or continual) cardinality of dynamic processes in a separable Hilbert space.
ISSN:	0012-2661 1608-3083
DOI:	10.1134/S0012266117080122