Investigating the solution properties of symmetric/skew-symmetric LTI homogeneous matrix descriptor discrete-time systems with consistent initial conditions and constant delay period

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

doi:10.1109/ICCA.2010.5524006

Investigating the solution properties of symmetric/skew-symmetric LTI homogeneous matrix descriptor discrete-time systems with consistent initial conditions and constant delay period

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

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

Abstract

In this paper, the Thompson's canonical form for a regular and singular matrix pencil of complex matrices with symmetric and skew symmetric structural properties is introduced for the solution of linear and time invariant (LTI) matrix homogeneous descriptor discrete time system with consistent initial conditions and time delay. Under this approach, the main equation is divided into several sub-systems whose solutions are derived. Note that the regularity or singularity of matrix pencil predetermines the number of sub-systems.

Original language	English
Title of host publication	2010 8th IEEE International Conference on Control and Automation, ICCA 2010
Pages	1641-1647
Number of pages	7
DOIs	https://doi.org/10.1109/ICCA.2010.5524006
Publication status	Published - 2010
Externally published	Yes
Event	IEEE International Conference on Control and Automation 2010 - Xiamen, China Duration: 9 Jun 2010 → 11 Jun 2010 Conference number: 8th

Conference

Conference	IEEE International Conference on Control and Automation 2010
Abbreviated title	ICCA 2010
Country	China
City	Xiamen
Period	9/06/10 → 11/06/10

Access to Document

10.1109/ICCA.2010.5524006

Link to publication in Scopus

Cite this

Karageorgos, A. D., Pantelous, A. A., & Kalogeropoulos, G. I. (2010). Investigating the solution properties of symmetric/skew-symmetric LTI homogeneous matrix descriptor discrete-time systems with consistent initial conditions and constant delay period. In 2010 8th IEEE International Conference on Control and Automation, ICCA 2010 (pp. 1641-1647). [5524006] https://doi.org/10.1109/ICCA.2010.5524006

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title = "Investigating the solution properties of symmetric/skew-symmetric LTI homogeneous matrix descriptor discrete-time systems with consistent initial conditions and constant delay period",

abstract = "In this paper, the Thompson's canonical form for a regular and singular matrix pencil of complex matrices with symmetric and skew symmetric structural properties is introduced for the solution of linear and time invariant (LTI) matrix homogeneous descriptor discrete time system with consistent initial conditions and time delay. Under this approach, the main equation is divided into several sub-systems whose solutions are derived. Note that the regularity or singularity of matrix pencil predetermines the number of sub-systems.",

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language = "English",

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Karageorgos, AD, Pantelous, AA & Kalogeropoulos, GI 2010, Investigating the solution properties of symmetric/skew-symmetric LTI homogeneous matrix descriptor discrete-time systems with consistent initial conditions and constant delay period. in 2010 8th IEEE International Conference on Control and Automation, ICCA 2010., 5524006, pp. 1641-1647, IEEE International Conference on Control and Automation 2010, Xiamen, China, 9/06/10. https://doi.org/10.1109/ICCA.2010.5524006

Investigating the solution properties of symmetric/skew-symmetric LTI homogeneous matrix descriptor discrete-time systems with consistent initial conditions and constant delay period. / Karageorgos, Athanasios D.; Pantelous, Athanasios A.; Kalogeropoulos, Grigoris I.

2010 8th IEEE International Conference on Control and Automation, ICCA 2010. 2010. p. 1641-1647 5524006.

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

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AB - In this paper, the Thompson's canonical form for a regular and singular matrix pencil of complex matrices with symmetric and skew symmetric structural properties is introduced for the solution of linear and time invariant (LTI) matrix homogeneous descriptor discrete time system with consistent initial conditions and time delay. Under this approach, the main equation is divided into several sub-systems whose solutions are derived. Note that the regularity or singularity of matrix pencil predetermines the number of sub-systems.

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Karageorgos AD, Pantelous AA, Kalogeropoulos GI. Investigating the solution properties of symmetric/skew-symmetric LTI homogeneous matrix descriptor discrete-time systems with consistent initial conditions and constant delay period. In 2010 8th IEEE International Conference on Control and Automation, ICCA 2010. 2010. p. 1641-1647. 5524006 https://doi.org/10.1109/ICCA.2010.5524006