A differential realization of an input-output autonomous nonlinear system of minimal dynamic order in a Hilbert space

DOI10.1134/S1064562413040042zbMath1283.93074OpenAlexW2067100898MaRDI QIDQ382177

Yurij É. Linke, V. A. Rusanov, Anatoly V. Lakeyev

Publication date: 18 November 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562413040042

zbMATH Keywords

Hilbert spacedifferential realizationinput-output autonomous nonlinear system

Mathematics Subject Classification ID

Control/observation systems in abstract spaces (93C25) Realizations from input-output data (93B15)

Related Items (2)

Polylinear differential realization of deterministic dynamic chaos in the class of higher order equations with delay ⋮ DIFFERENTIAL REALIZATION OF SECOND-ORDER BILINEAR SYSTEM: A FUNCTIONAL-GEOMETRIC APPROACH

Cites Work

• Algebra of sets of dynamic processes with differential realizations in a Hilbert space
• Nonlinear input-output mappings and their minimal realizations
• A characteristic feature of realizability of nonstationary differential systems in Banach spaces
• A note on infinite dimensional convex sets.
• Affine and homeomorphic embeddings into $\ell ^2$
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