Non-linearity detection of weakly non-linear dynamic systems using cumulants

Kamal A.F. Moustafa; Hosam E. Emara-Shabaik

doi:10.1080/00207729208949373

Non-linearity detection of weakly non-linear dynamic systems using cumulants

Kamal A.F. Moustafa
, Hosam E. Emara-Shabaik

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

4 Citations (Scopus)

Abstract

Non-linearity detection in dynamic systems is a fundamental issue in non-linear system identification. This problem is treated with the aid of the perturbation technique. A criterion for the detection of even non-linearities is developed in terms of the third-order cumulants of vector stochastic processes.

Original language	English
Pages (from-to)	1167-1177
Number of pages	11
Journal	International Journal of Systems Science
Volume	23
Issue number	7
DOIs	https://doi.org/10.1080/00207729208949373
Publication status	Published - Jul 1992
Externally published	Yes

ASJC Scopus subject areas

Control and Systems Engineering
Theoretical Computer Science
Computer Science Applications

Access to Document

10.1080/00207729208949373

Cite this

@article{f15c40e0d2d74238982f454fe22e02ac,

title = "Non-linearity detection of weakly non-linear dynamic systems using cumulants",

abstract = "Non-linearity detection in dynamic systems is a fundamental issue in non-linear system identification. This problem is treated with the aid of the perturbation technique. A criterion for the detection of even non-linearities is developed in terms of the third-order cumulants of vector stochastic processes.",

author = "Moustafa, \{Kamal A.F.\} and Emara-Shabaik, \{Hosam E.\}",

year = "1992",

month = jul,

doi = "10.1080/00207729208949373",

language = "English",

volume = "23",

pages = "1167--1177",

journal = "International Journal of Systems Science",

issn = "0020-7721",

publisher = "Taylor and Francis Ltd.",

number = "7",

}

TY - JOUR

T1 - Non-linearity detection of weakly non-linear dynamic systems using cumulants

AU - Moustafa, Kamal A.F.

AU - Emara-Shabaik, Hosam E.

PY - 1992/7

Y1 - 1992/7

N2 - Non-linearity detection in dynamic systems is a fundamental issue in non-linear system identification. This problem is treated with the aid of the perturbation technique. A criterion for the detection of even non-linearities is developed in terms of the third-order cumulants of vector stochastic processes.

AB - Non-linearity detection in dynamic systems is a fundamental issue in non-linear system identification. This problem is treated with the aid of the perturbation technique. A criterion for the detection of even non-linearities is developed in terms of the third-order cumulants of vector stochastic processes.

UR - https://www.scopus.com/pages/publications/84906975547

UR - https://www.scopus.com/pages/publications/84906975547#tab=citedBy

U2 - 10.1080/00207729208949373

DO - 10.1080/00207729208949373

M3 - Article

AN - SCOPUS:84906975547

SN - 0020-7721

VL - 23

SP - 1167

EP - 1177

JO - International Journal of Systems Science

JF - International Journal of Systems Science

IS - 7

ER -

Non-linearity detection of weakly non-linear dynamic systems using cumulants

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this