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Frequency domain conditions for finite-dimensional projectors and determining observations for the set of amenable solutions. / Popov, S.; Reitmann, V.

In: Discrete and Continuous Dynamical Systems, No. 1, 2014, p. 249-267.

Research output: Contribution to journal › Article

Harvard

Popov, S & Reitmann, V 2014, 'Frequency domain conditions for finite-dimensional projectors and determining observations for the set of amenable solutions', Discrete and Continuous Dynamical Systems, no. 1, pp. 249-267. https://doi.org/10.3934/dcds.2014.34.249

APA

Popov, S., & Reitmann, V. (2014). Frequency domain conditions for finite-dimensional projectors and determining observations for the set of amenable solutions. Discrete and Continuous Dynamical Systems, (1), 249-267. https://doi.org/10.3934/dcds.2014.34.249

Vancouver

Popov S, Reitmann V. Frequency domain conditions for finite-dimensional projectors and determining observations for the set of amenable solutions. Discrete and Continuous Dynamical Systems. 2014;(1):249-267. https://doi.org/10.3934/dcds.2014.34.249

Author

Popov, S. ; Reitmann, V. / Frequency domain conditions for finite-dimensional projectors and determining observations for the set of amenable solutions. In: Discrete and Continuous Dynamical Systems. 2014 ; No. 1. pp. 249-267.

BibTeX

@article{80098c318c4d466f9fde7a473f7d7f2b,
title = "Frequency domain conditions for finite-dimensional projectors and determining observations for the set of amenable solutions",
abstract = "Frequency domain conditions for the existence of finite-dimensional projectors and determining observations for the set of amenable solutions of semi-dynamical systems in Hilbert spaces are derived. Evolutionary variational equations are considered as control systems in a rigged Hilbert space structure. As an example we investigate a coupled system of Maxwell's equations and the heat equation in one-space dimension. We show the controllability of the linear part and the frequency domain conditions for this example.",
author = "S. Popov and V. Reitmann",
year = "2014",
doi = "10.3934/dcds.2014.34.249",
language = "English",
pages = "249--267",
journal = "Discrete and Continuous Dynamical Systems",
issn = "1078-0947",
publisher = "Southwest Missouri State University",
number = "1",

}

RIS

TY - JOUR

T1 - Frequency domain conditions for finite-dimensional projectors and determining observations for the set of amenable solutions

AU - Popov, S.

AU - Reitmann, V.

PY - 2014

Y1 - 2014

N2 - Frequency domain conditions for the existence of finite-dimensional projectors and determining observations for the set of amenable solutions of semi-dynamical systems in Hilbert spaces are derived. Evolutionary variational equations are considered as control systems in a rigged Hilbert space structure. As an example we investigate a coupled system of Maxwell's equations and the heat equation in one-space dimension. We show the controllability of the linear part and the frequency domain conditions for this example.

AB - Frequency domain conditions for the existence of finite-dimensional projectors and determining observations for the set of amenable solutions of semi-dynamical systems in Hilbert spaces are derived. Evolutionary variational equations are considered as control systems in a rigged Hilbert space structure. As an example we investigate a coupled system of Maxwell's equations and the heat equation in one-space dimension. We show the controllability of the linear part and the frequency domain conditions for this example.

U2 - 10.3934/dcds.2014.34.249

DO - 10.3934/dcds.2014.34.249

M3 - Article

SP - 249

EP - 267

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

SN - 1078-0947

IS - 1

ER -

ID: 7065187