Sufficient criterion for instability of 2-D linear discrete systems

Apostolos Kanellakis; Ayman Tawfik

doi:10.1016/j.fraope.2023.100019

Sufficient criterion for instability of 2-D linear discrete systems

Apostolos Kanellakis
, Ayman Tawfik

National Technical University of Athens

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

3 Scopus citations

Abstract

In this paper, a theorem for the instability checking of linear shift-invariant two-dimensional discrete systems is proposed. This is based on the results for the location of the roots of polynomials presented by Mori and the criterion for the stability of 2-D discrete systems presented by Murray and Delsarte et al. The theorem provides a new sufficient criterion which can be applied easily for the 2-D instability checking. This is demonstrated by detailed examples.

Original language	English
Article number	100019
Journal	Franklin Open
Volume	3
DOIs	https://doi.org/10.1016/j.fraope.2023.100019
State	Published - Jun 2023

Keywords

Discrete systems
Instability
Polynomials
Stability
Sufficient condition
Transfer function
Two-dimensional (2-D or 2D) linear systems

Access to Document

10.1016/j.fraope.2023.100019

Cite this

@article{82d62975309347b99ca93e7528d84e6a,

title = "Sufficient criterion for instability of 2-D linear discrete systems",

abstract = "In this paper, a theorem for the instability checking of linear shift-invariant two-dimensional discrete systems is proposed. This is based on the results for the location of the roots of polynomials presented by Mori and the criterion for the stability of 2-D discrete systems presented by Murray and Delsarte et al. The theorem provides a new sufficient criterion which can be applied easily for the 2-D instability checking. This is demonstrated by detailed examples.",

keywords = "Discrete systems, Instability, Polynomials, Stability, Sufficient condition, Transfer function, Two-dimensional (2-D or 2D) linear systems",

author = "Apostolos Kanellakis and Ayman Tawfik",

note = "Publisher Copyright: {\textcopyright} 2023 The Author(s)",

year = "2023",

month = jun,

doi = "10.1016/j.fraope.2023.100019",

language = "English",

volume = "3",

journal = "Franklin Open",

issn = "2773-1871",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Sufficient criterion for instability of 2-D linear discrete systems

AU - Kanellakis, Apostolos

AU - Tawfik, Ayman

PY - 2023/6

Y1 - 2023/6

N2 - In this paper, a theorem for the instability checking of linear shift-invariant two-dimensional discrete systems is proposed. This is based on the results for the location of the roots of polynomials presented by Mori and the criterion for the stability of 2-D discrete systems presented by Murray and Delsarte et al. The theorem provides a new sufficient criterion which can be applied easily for the 2-D instability checking. This is demonstrated by detailed examples.

AB - In this paper, a theorem for the instability checking of linear shift-invariant two-dimensional discrete systems is proposed. This is based on the results for the location of the roots of polynomials presented by Mori and the criterion for the stability of 2-D discrete systems presented by Murray and Delsarte et al. The theorem provides a new sufficient criterion which can be applied easily for the 2-D instability checking. This is demonstrated by detailed examples.

KW - Discrete systems

KW - Instability

KW - Polynomials

KW - Stability

KW - Sufficient condition

KW - Transfer function

KW - Two-dimensional (2-D or 2D) linear systems

UR - https://www.scopus.com/pages/publications/85213327105

U2 - 10.1016/j.fraope.2023.100019

DO - 10.1016/j.fraope.2023.100019

M3 - Article

AN - SCOPUS:85213327105

SN - 2773-1871

VL - 3

JO - Franklin Open

JF - Franklin Open

M1 - 100019

ER -

Sufficient criterion for instability of 2-D linear discrete systems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this