On linear generalized neutral differential delay systems

Athanasios A. Pantelous; Grigoris I. Kalogeropoulos

doi:10.1016/j.jfranklin.2009.06.001

On linear generalized neutral differential delay systems

Athanasios A. Pantelous, Grigoris I. Kalogeropoulos

Research output: Contribution to journal › Article › Research › peer-review

6 Citations (Scopus)

Abstract

In this paper, the class of linear generalized neutral differential delay systems with time-invariant coefficients is studied. These kinds of systems are inherent in many physical and engineering phenomena. Using the matrix pencil theory, we decompose it into five subsystems, whose solutions are obtained. Moreover, the form of the initial function is given, so the corresponding initial value problem is uniquely solvable.

Original language	English
Pages (from-to)	691-704
Number of pages	14
Journal	Journal of the Franklin Institute
Volume	346
Issue number	7
DOIs	https://doi.org/10.1016/j.jfranklin.2009.06.001
Publication status	Published - Sept 2009
Externally published	Yes

Keywords

Linear systems
Matrix pencil theory
Neutral differential delay systems

Access to Document

10.1016/j.jfranklin.2009.06.001

Cite this

@article{cc41cfe98a694219bc31223486b38bb6,

title = "On linear generalized neutral differential delay systems",

abstract = "In this paper, the class of linear generalized neutral differential delay systems with time-invariant coefficients is studied. These kinds of systems are inherent in many physical and engineering phenomena. Using the matrix pencil theory, we decompose it into five subsystems, whose solutions are obtained. Moreover, the form of the initial function is given, so the corresponding initial value problem is uniquely solvable.",

keywords = "Linear systems, Matrix pencil theory, Neutral differential delay systems",

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

year = "2009",

month = sep,

doi = "10.1016/j.jfranklin.2009.06.001",

language = "English",

volume = "346",

pages = "691--704",

journal = "Journal of the Franklin Institute",

issn = "0016-0032",

publisher = "Elsevier",

number = "7",

}

TY - JOUR

T1 - On linear generalized neutral differential delay systems

AU - Pantelous, Athanasios A.

AU - Kalogeropoulos, Grigoris I.

PY - 2009/9

Y1 - 2009/9

N2 - In this paper, the class of linear generalized neutral differential delay systems with time-invariant coefficients is studied. These kinds of systems are inherent in many physical and engineering phenomena. Using the matrix pencil theory, we decompose it into five subsystems, whose solutions are obtained. Moreover, the form of the initial function is given, so the corresponding initial value problem is uniquely solvable.

AB - In this paper, the class of linear generalized neutral differential delay systems with time-invariant coefficients is studied. These kinds of systems are inherent in many physical and engineering phenomena. Using the matrix pencil theory, we decompose it into five subsystems, whose solutions are obtained. Moreover, the form of the initial function is given, so the corresponding initial value problem is uniquely solvable.

KW - Linear systems

KW - Matrix pencil theory

KW - Neutral differential delay systems

UR - http://www.scopus.com/inward/record.url?scp=68349090360&partnerID=8YFLogxK

U2 - 10.1016/j.jfranklin.2009.06.001

DO - 10.1016/j.jfranklin.2009.06.001

M3 - Article

AN - SCOPUS:68349090360

SN - 0016-0032

VL - 346

SP - 691

EP - 704

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 7

ER -

On linear generalized neutral differential delay systems

Abstract

Keywords

Access to Document

Other files and links

Cite this