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Realization theory methods for the stability investigation of nonlinear infinite-dimensional input-output systems. / Reitmann, Volker.

In: Mathematica Bohemica, Vol. 136, No. 2, 2011, p. 185-194.

Research output: Contribution to journal › Article › peer-review

Harvard

Reitmann, V 2011, 'Realization theory methods for the stability investigation of nonlinear infinite-dimensional input-output systems', Mathematica Bohemica, vol. 136, no. 2, pp. 185-194.

APA

Reitmann, V. (2011). Realization theory methods for the stability investigation of nonlinear infinite-dimensional input-output systems. Mathematica Bohemica, 136(2), 185-194.

Vancouver

Reitmann V. Realization theory methods for the stability investigation of nonlinear infinite-dimensional input-output systems. Mathematica Bohemica. 2011;136(2):185-194.

Author

Reitmann, Volker. / Realization theory methods for the stability investigation of nonlinear infinite-dimensional input-output systems. In: Mathematica Bohemica. 2011 ; Vol. 136, No. 2. pp. 185-194.

BibTeX

@article{f9f5e34a72cc468ca47d1bbf798bffb3,
title = "Realization theory methods for the stability investigation of nonlinear infinite-dimensional input-output systems",
abstract = "Realization theory for linear input-output operators and frequency-domain methods for the solvability of Riccati operator equations are used for the stability and instability investigation of a class of nonlinear Volterra integral equations in a Hilbert space. The key idea is to consider, similar to the Volterra equation, a time-invariant control system generated by an abstract ODE in a weighted Sobolev space, which has the same stability properties as the Volterra equation.",
keywords = "Absolute instability, Frequency-domain method, Infinite dimensional Volterra integral equation, Realization theory",
author = "Volker Reitmann",
note = "Copyright: Copyright 2011 Elsevier B.V., All rights reserved.",
year = "2011",
language = "English",
volume = "136",
pages = "185--194",
journal = "Mathematica Bohemica",
issn = "0862-7959",
publisher = "Czech Academy of Sciences",
number = "2",

}

RIS

TY - JOUR

T1 - Realization theory methods for the stability investigation of nonlinear infinite-dimensional input-output systems

AU - Reitmann, Volker

N1 - Copyright: Copyright 2011 Elsevier B.V., All rights reserved.

PY - 2011

Y1 - 2011

N2 - Realization theory for linear input-output operators and frequency-domain methods for the solvability of Riccati operator equations are used for the stability and instability investigation of a class of nonlinear Volterra integral equations in a Hilbert space. The key idea is to consider, similar to the Volterra equation, a time-invariant control system generated by an abstract ODE in a weighted Sobolev space, which has the same stability properties as the Volterra equation.

AB - Realization theory for linear input-output operators and frequency-domain methods for the solvability of Riccati operator equations are used for the stability and instability investigation of a class of nonlinear Volterra integral equations in a Hilbert space. The key idea is to consider, similar to the Volterra equation, a time-invariant control system generated by an abstract ODE in a weighted Sobolev space, which has the same stability properties as the Volterra equation.

KW - Absolute instability

KW - Frequency-domain method

KW - Infinite dimensional Volterra integral equation

KW - Realization theory

UR - http://www.scopus.com/inward/record.url?scp=79959301210&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:79959301210

VL - 136

SP - 185

EP - 194

JO - Mathematica Bohemica

JF - Mathematica Bohemica

SN - 0862-7959

IS - 2

ER -

ID: 73406824