Symmetric/skew-symmetric homogeneous matrix descriptor (regular) differential systems with consistent initial conditions

Athanasios D. Karageorgos; Athanasios A. Pantelous; Grigoris I. Kalogeropoulos

doi:10.1109/ICCA.2009.5410576

Symmetric/skew-symmetric homogeneous matrix descriptor (regular) differential systems with consistent initial conditions

Athanasios D. Karageorgos, Athanasios A. Pantelous, Grigoris I. Kalogeropoulos

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

1 Citation (Scopus)

Abstract

This paper introduces the results of Thompson's canonical form under congruence for pairs of complex matrices with symmetric and skew symmetric structural properties to the solution of higher order linear matrix homogeneous differential systems. Under this approach, the main equation is divided into five sub-systems whose solutions are derived. Note that the regularity or singularity of matrix pencil predetermines the number of sub-systems. The special properties of such systems may be appeared in engineering and even in some financial models.

Original language	English
Title of host publication	2009 IEEE International Conference on Control and Automation, ICCA 2009
Publisher	IEEE, Institute of Electrical and Electronics Engineers
Pages	966-971
Number of pages	6
ISBN (Print)	9781424447060
DOIs	https://doi.org/10.1109/ICCA.2009.5410576
Publication status	Published - 2009
Externally published	Yes
Event	IEEE International Conference on Control and Automation 2009 - Christchurch, New Zealand Duration: 9 Dec 2009 → 11 Dec 2009

Conference

Conference	IEEE International Conference on Control and Automation 2009
Abbreviated title	ICCA 2009
Country/Territory	New Zealand
City	Christchurch
Period	9/12/09 → 11/12/09

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10.1109/ICCA.2009.5410576

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Karageorgos, A. D., Pantelous, A. A., & Kalogeropoulos, G. I. (2009). Symmetric/skew-symmetric homogeneous matrix descriptor (regular) differential systems with consistent initial conditions. In 2009 IEEE International Conference on Control and Automation, ICCA 2009 (pp. 966-971). IEEE, Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/ICCA.2009.5410576

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title = "Symmetric/skew-symmetric homogeneous matrix descriptor (regular) differential systems with consistent initial conditions",

abstract = "This paper introduces the results of Thompson's canonical form under congruence for pairs of complex matrices with symmetric and skew symmetric structural properties to the solution of higher order linear matrix homogeneous differential systems. Under this approach, the main equation is divided into five sub-systems whose solutions are derived. Note that the regularity or singularity of matrix pencil predetermines the number of sub-systems. The special properties of such systems may be appeared in engineering and even in some financial models.",

author = "Karageorgos, {Athanasios D.} and Pantelous, {Athanasios A.} and Kalogeropoulos, {Grigoris I.}",

year = "2009",

doi = "10.1109/ICCA.2009.5410576",

language = "English",

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note = "IEEE International Conference on Control and Automation 2009, ICCA 2009 ; Conference date: 09-12-2009 Through 11-12-2009",

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Karageorgos, AD, Pantelous, AA & Kalogeropoulos, GI 2009, Symmetric/skew-symmetric homogeneous matrix descriptor (regular) differential systems with consistent initial conditions. in 2009 IEEE International Conference on Control and Automation, ICCA 2009. IEEE, Institute of Electrical and Electronics Engineers, pp. 966-971, IEEE International Conference on Control and Automation 2009, Christchurch, New Zealand, 9/12/09. https://doi.org/10.1109/ICCA.2009.5410576

Symmetric/skew-symmetric homogeneous matrix descriptor (regular) differential systems with consistent initial conditions. / Karageorgos, Athanasios D.; Pantelous, Athanasios A.; Kalogeropoulos, Grigoris I.
2009 IEEE International Conference on Control and Automation, ICCA 2009. IEEE, Institute of Electrical and Electronics Engineers, 2009. p. 966-971.

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

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AB - This paper introduces the results of Thompson's canonical form under congruence for pairs of complex matrices with symmetric and skew symmetric structural properties to the solution of higher order linear matrix homogeneous differential systems. Under this approach, the main equation is divided into five sub-systems whose solutions are derived. Note that the regularity or singularity of matrix pencil predetermines the number of sub-systems. The special properties of such systems may be appeared in engineering and even in some financial models.

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Y2 - 9 December 2009 through 11 December 2009

ER -

Symmetric/skew-symmetric homogeneous matrix descriptor (regular) differential systems with consistent initial conditions

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