Higher order matrix differential equations with singular coefficient matrices

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

doi:10.1063/1.4912578

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 proceeding › Conference Paper › Research › peer-review

4 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 language	English
Title of host publication	Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM 2014)
Editors	T.E. Simos, Ch. Tsitouras
Place of Publication	Melville NY USA
Publisher	American Institute of Physics
Number of pages	4
ISBN (Electronic)	9780735412873
DOIs	https://doi.org/10.1063/1.4912578
Publication status	Published - 10 Mar 2015
Externally published	Yes
Event	International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) 2014 - Rodos Palace Hotel, Rhodes, Greece Duration: 22 Sep 2014 → 28 Sep 2014 Conference number: 12th http://history.icnaam.org/icnaam_2014/index.html

Publication series

Name	AIP Conference Proceedings
Publisher	AIP Publishing
Volume	1648
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) 2014
Abbreviated title	ICNAAM 2014
Country/Territory	Greece
City	Rhodes
Period	22/09/14 → 28/09/14
Internet address	http://history.icnaam.org/icnaam_2014/index.html

Keywords

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

Access to Document

10.1063/1.4912578

Cite this

Fragkoulis, V. C., Kougioumtzoglou, I. A., Pantelous, A. A., & Pirrotta, A. (2015). Higher order matrix differential equations with singular coefficient matrices. In T. E. Simos, & C. Tsitouras (Eds.), Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM 2014) [340002] (AIP Conference Proceedings; Vol. 1648). American Institute of Physics. https://doi.org/10.1063/1.4912578

Fragkoulis, V. C. ; Kougioumtzoglou, I. A. ; Pantelous, A. A. et al. / Higher order matrix differential equations with singular coefficient matrices. Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM 2014). editor / T.E. Simos ; Ch. Tsitouras. Melville NY USA : American Institute of Physics, 2015. (AIP Conference Proceedings).

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keywords = "Higher order matrix equations, Multi-degree-of-freedom dynamical system, Random vibration theory, Singular matrices",

author = "Fragkoulis, {V. C.} and Kougioumtzoglou, {I. A.} and Pantelous, {A. A.} and A. Pirrotta",

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Fragkoulis, VC, Kougioumtzoglou, IA, Pantelous, AA & Pirrotta, A 2015, Higher order matrix differential equations with singular coefficient matrices. in TE Simos & C Tsitouras (eds), Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM 2014)., 340002, AIP Conference Proceedings, vol. 1648, American Institute of Physics, Melville NY USA, International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) 2014, Rhodes, Greece, 22/09/14. https://doi.org/10.1063/1.4912578

Higher order matrix differential equations with singular coefficient matrices. / Fragkoulis, V. C.; Kougioumtzoglou, I. A.; Pantelous, A. A. et al.

Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM 2014). ed. / T.E. Simos; Ch. Tsitouras. Melville NY USA : American Institute of Physics, 2015. 340002 (AIP Conference Proceedings; Vol. 1648).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › Research › peer-review

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Fragkoulis VC, Kougioumtzoglou IA, Pantelous AA, Pirrotta A. Higher order matrix differential equations with singular coefficient matrices. In Simos TE, Tsitouras C, editors, Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM 2014). Melville NY USA: American Institute of Physics. 2015. 340002. (AIP Conference Proceedings). https://doi.org/10.1063/1.4912578

Higher order matrix differential equations with singular coefficient matrices

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