Solvability of differential realization of minimum dynamic order for a family of nonlinear input-output processes in Hilbert space

DOI10.1134/S0012266115040102zbMath1316.93033MaRDI QIDQ2515257

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

Publication date: 31 July 2015

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

differential realizationautonomous state equations in a Hilbert space.continuous behavioristic systeminput-output processes

Mathematics Subject Classification ID

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

Related Items (9)

To the structure identification of a nonlinear regulator for a nonstationary hyperbolic system ⋮ Realization of a polylinear controller as a second-order differential system in a Hilbert space ⋮ ON REALIZATION OF THE SUPERPOSITION PRINCIPLE FOR A FINITE BUNDLE OF INTEGRAL CURVES OF A SECOND-ORDER BILINEAR DIFFERENTIAL SYSTEM ⋮ Polylinear differential realization of deterministic dynamic chaos in the class of higher order equations with delay ⋮ To the geometrical theory of differential realization of dynamic processes in a Hilbert space ⋮ DIFFERENTIAL REALIZATION OF SECOND-ORDER BILINEAR SYSTEM: A FUNCTIONAL-GEOMETRIC APPROACH ⋮ Extension in the Hilbert space of the differential realization of a countable set of nonlinear ``input-output processes ⋮ Adjustment optimization for a model of differential realization of a multidimensional second-order system ⋮ SEMIADDITIVITY OF THE ENTROPY RAYLEIGH-RITZ OPERATOR IN THE PROBLEM OF REALIZATION OF AN INVARIANT POLYLINEAR REGULATOR OF A NON-STATIONARY HYPERBOLIC SYSTEM

Cites Work

• Existence of a differential realization of a dynamical system in a Banach space in the constructions of extensions to \(M_p\)-operators
• The theory of the structural identification of nonlinear multidimensional systems
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