Linear time invariant homogeneous matrix descriptor (singular) discrete-time systems with non consistent initial conditions

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

doi:10.1109/ICNS.2010.60

Linear time invariant homogeneous matrix descriptor (singular) discrete-time systems with non consistent initial conditions

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

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

1 Citation (Scopus)

Abstract

Several applications in mechanics, in engineering, as well as, in financial issues, have been benefited by the use of digital computers. Thus, in the literature of system and control theory, the discrete-time systems gain-ed a special merit. In this paper, we discuss the solution properties of a very interesting class of descriptor systems. So, we provide with the solution of linear time invariant homogeneous matrix descriptor (singular) discrete-time systems with non-consistent initial conditions. The lack of consistency to the initial conditions makes the problem more general and too far challenging. Consequently, using the properties of ztransform, the solution is fully discussed and provided.

Original language	English
Title of host publication	6th International Conference on Networking and Services, ICNS 2010, Includes LMPCNA 2010; INTENSIVE 2010
Pages	381-386
Number of pages	6
DOIs	https://doi.org/10.1109/ICNS.2010.60
Publication status	Published - 2010
Externally published	Yes
Event	International Conference on Networking and Services (ICNS) 2010 - Cancun, Mexico Duration: 7 Mar 2010 → 13 Mar 2010 Conference number: 6th

Conference

Conference	International Conference on Networking and Services (ICNS) 2010
Abbreviated title	ICNS 2010
Country/Territory	Mexico
City	Cancun
Period	7/03/10 → 13/03/10
Other	Includes LMPCNA 2010; INTENSIVE 2010

Keywords

Descriptor matrix systems
z-transform

Access to Document

10.1109/ICNS.2010.60

Cite this

Pantelous, A. A., Karageorgos, A. D., & Kalogeropoulos, G. I. (2010). Linear time invariant homogeneous matrix descriptor (singular) discrete-time systems with non consistent initial conditions. In 6th International Conference on Networking and Services, ICNS 2010, Includes LMPCNA 2010; INTENSIVE 2010 (pp. 381-386). Article 5460890 https://doi.org/10.1109/ICNS.2010.60

@inproceedings{a8a806b414fc4ed7aa1cd364881fbd27,

title = "Linear time invariant homogeneous matrix descriptor (singular) discrete-time systems with non consistent initial conditions",

abstract = "Several applications in mechanics, in engineering, as well as, in financial issues, have been benefited by the use of digital computers. Thus, in the literature of system and control theory, the discrete-time systems gain-ed a special merit. In this paper, we discuss the solution properties of a very interesting class of descriptor systems. So, we provide with the solution of linear time invariant homogeneous matrix descriptor (singular) discrete-time systems with non-consistent initial conditions. The lack of consistency to the initial conditions makes the problem more general and too far challenging. Consequently, using the properties of ztransform, the solution is fully discussed and provided.",

keywords = "Descriptor matrix systems, z-transform",

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

year = "2010",

doi = "10.1109/ICNS.2010.60",

language = "English",

isbn = "9780769539690",

pages = "381--386",

booktitle = "6th International Conference on Networking and Services, ICNS 2010, Includes LMPCNA 2010; INTENSIVE 2010",

note = "International Conference on Networking and Services (ICNS) 2010 , ICNS 2010 ; Conference date: 07-03-2010 Through 13-03-2010",

}

Pantelous, AA, Karageorgos, AD & Kalogeropoulos, GI 2010, Linear time invariant homogeneous matrix descriptor (singular) discrete-time systems with non consistent initial conditions. in 6th International Conference on Networking and Services, ICNS 2010, Includes LMPCNA 2010; INTENSIVE 2010., 5460890, pp. 381-386, International Conference on Networking and Services (ICNS) 2010 , Cancun, Mexico, 7/03/10. https://doi.org/10.1109/ICNS.2010.60

Linear time invariant homogeneous matrix descriptor (singular) discrete-time systems with non consistent initial conditions. / Pantelous, Athanasios A.; Karageorgos, Athanasios D.; Kalogeropoulos, Grigoris I.
6th International Conference on Networking and Services, ICNS 2010, Includes LMPCNA 2010; INTENSIVE 2010. 2010. p. 381-386 5460890.

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

TY - GEN

T1 - Linear time invariant homogeneous matrix descriptor (singular) discrete-time systems with non consistent initial conditions

AU - Pantelous, Athanasios A.

AU - Karageorgos, Athanasios D.

AU - Kalogeropoulos, Grigoris I.

N1 - Conference code: 6th

PY - 2010

Y1 - 2010

N2 - Several applications in mechanics, in engineering, as well as, in financial issues, have been benefited by the use of digital computers. Thus, in the literature of system and control theory, the discrete-time systems gain-ed a special merit. In this paper, we discuss the solution properties of a very interesting class of descriptor systems. So, we provide with the solution of linear time invariant homogeneous matrix descriptor (singular) discrete-time systems with non-consistent initial conditions. The lack of consistency to the initial conditions makes the problem more general and too far challenging. Consequently, using the properties of ztransform, the solution is fully discussed and provided.

AB - Several applications in mechanics, in engineering, as well as, in financial issues, have been benefited by the use of digital computers. Thus, in the literature of system and control theory, the discrete-time systems gain-ed a special merit. In this paper, we discuss the solution properties of a very interesting class of descriptor systems. So, we provide with the solution of linear time invariant homogeneous matrix descriptor (singular) discrete-time systems with non-consistent initial conditions. The lack of consistency to the initial conditions makes the problem more general and too far challenging. Consequently, using the properties of ztransform, the solution is fully discussed and provided.

KW - Descriptor matrix systems

KW - z-transform

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U2 - 10.1109/ICNS.2010.60

DO - 10.1109/ICNS.2010.60

M3 - Conference Paper

AN - SCOPUS:77953043955

SN - 9780769539690

SP - 381

EP - 386

BT - 6th International Conference on Networking and Services, ICNS 2010, Includes LMPCNA 2010; INTENSIVE 2010

T2 - International Conference on Networking and Services (ICNS) 2010

Y2 - 7 March 2010 through 13 March 2010

ER -

Linear time invariant homogeneous matrix descriptor (singular) discrete-time systems with non consistent initial conditions

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Keywords

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