Higher order matrix differential equations with singular coefficient matrices

V. C. Fragkoulis, I. A. Kougioumtzoglou, A. A. Pantelous, A. Pirrotta

Research output: Chapter in Book/Report/Conference proceedingConference PaperResearchpeer-review

2 Citations (Scopus)

Abstract

In this article, the class of higher order linear matrix differential equations with constant coefficient matrices and stochastic process terms is studied. The coefficient of the highest order is considered to be singular; thus, rendering the response determination of such systems in a straightforward manner a difficult task. In this regard, the notion of the generalized inverse of a singular matrix is used for determining response statistics. Further, an application relevant to engineering dynamics problems is included.

Original languageEnglish
Title of host publicationProceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM 2014)
EditorsT.E. Simos, Ch. Tsitouras
Place of PublicationMelville NY USA
PublisherAmerican Institute of Physics
Number of pages4
ISBN (Electronic)9780735412873
DOIs
Publication statusPublished - 10 Mar 2015
Externally publishedYes
EventInternational Conference on Numerical Analysis and Applied Mathematics (ICNAAM) 2014 - Rodos Palace Hotel, Rhodes, Greece
Duration: 22 Sep 201428 Sep 2014
Conference number: 12th
http://history.icnaam.org/icnaam_2014/index.html

Publication series

NameAIP Conference Proceedings
PublisherAIP Publishing
Volume1648
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics (ICNAAM) 2014
Abbreviated titleICNAAM 2014
CountryGreece
CityRhodes
Period22/09/1428/09/14
Internet address

Keywords

  • Higher order matrix equations
  • Multi-degree-of-freedom dynamical system
  • Random vibration theory
  • Singular matrices

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