Publication

Indiscernible topological variations in DAE networks

Patil, D., Tesi, P. & Trenn, S., Mar-2019, In : Automatica. 101, p. 280-289 10 p.

Research output: Contribution to journalArticleAcademicpeer-review

APA

Patil, D., Tesi, P., & Trenn, S. (2019). Indiscernible topological variations in DAE networks. Automatica, 101, 280-289. https://doi.org/10.1016/j.automatica.2018.12.012

Author

Patil, Deepak ; Tesi, Pietro ; Trenn, Stephan. / Indiscernible topological variations in DAE networks. In: Automatica. 2019 ; Vol. 101. pp. 280-289.

Harvard

Patil, D, Tesi, P & Trenn, S 2019, 'Indiscernible topological variations in DAE networks', Automatica, vol. 101, pp. 280-289. https://doi.org/10.1016/j.automatica.2018.12.012

Standard

Indiscernible topological variations in DAE networks. / Patil, Deepak; Tesi, Pietro; Trenn, Stephan.

In: Automatica, Vol. 101, 03.2019, p. 280-289.

Research output: Contribution to journalArticleAcademicpeer-review

Vancouver

Patil D, Tesi P, Trenn S. Indiscernible topological variations in DAE networks. Automatica. 2019 Mar;101:280-289. https://doi.org/10.1016/j.automatica.2018.12.012


BibTeX

@article{1580fb96ab2a485a95929b512c1c0c29,
title = "Indiscernible topological variations in DAE networks",
abstract = "A problem of characterizing conditions under which a topological change in a network of differential–algebraic equations (DAEs) can go undetected is considered. It is shown that initial conditions for which topological changes are indiscernible belong to a generalized eigenspace shared by the nominal system and the system resulting from a topological change. A condition in terms of eigenvectors of the nominal system is derived to check for existence of possibly indiscernible topological changes. For homogeneous networks this condition simplifies to the existence of an eigenvector of the Laplacian of network having equal components. Lastly, a rank condition is derived which can be used to check if a topological change preserves regularity of the nominal network.",
keywords = "Differential–Algebraic Equations (DAEs), DAE networks, Time-varying topologies, MODE-OBSERVABILITY, SYSTEMS",
author = "Deepak Patil and Pietro Tesi and Stephan Trenn",
year = "2019",
month = "3",
doi = "10.1016/j.automatica.2018.12.012",
language = "English",
volume = "101",
pages = "280--289",
journal = "Automatica",
issn = "1873-2836",
publisher = "PERGAMON-ELSEVIER SCIENCE LTD",

}

RIS

TY - JOUR

T1 - Indiscernible topological variations in DAE networks

AU - Patil, Deepak

AU - Tesi, Pietro

AU - Trenn, Stephan

PY - 2019/3

Y1 - 2019/3

N2 - A problem of characterizing conditions under which a topological change in a network of differential–algebraic equations (DAEs) can go undetected is considered. It is shown that initial conditions for which topological changes are indiscernible belong to a generalized eigenspace shared by the nominal system and the system resulting from a topological change. A condition in terms of eigenvectors of the nominal system is derived to check for existence of possibly indiscernible topological changes. For homogeneous networks this condition simplifies to the existence of an eigenvector of the Laplacian of network having equal components. Lastly, a rank condition is derived which can be used to check if a topological change preserves regularity of the nominal network.

AB - A problem of characterizing conditions under which a topological change in a network of differential–algebraic equations (DAEs) can go undetected is considered. It is shown that initial conditions for which topological changes are indiscernible belong to a generalized eigenspace shared by the nominal system and the system resulting from a topological change. A condition in terms of eigenvectors of the nominal system is derived to check for existence of possibly indiscernible topological changes. For homogeneous networks this condition simplifies to the existence of an eigenvector of the Laplacian of network having equal components. Lastly, a rank condition is derived which can be used to check if a topological change preserves regularity of the nominal network.

KW - Differential–Algebraic Equations (DAEs)

KW - DAE networks

KW - Time-varying topologies

KW - MODE-OBSERVABILITY

KW - SYSTEMS

U2 - 10.1016/j.automatica.2018.12.012

DO - 10.1016/j.automatica.2018.12.012

M3 - Article

VL - 101

SP - 280

EP - 289

JO - Automatica

JF - Automatica

SN - 1873-2836

ER -

ID: 72816556