Integer/fractional decomposition of the impulse response of fractional linear systems

Manuel D. Ortigueira; J. Tenreiro Machado; Margarita Rivero; Juan J. Trujillo

doi:10.1016/j.sigpro.2015.02.014

Integer/fractional decomposition of the impulse response of fractional linear systems

Manuel D. Ortigueira, J. Tenreiro Machado, Margarita Rivero, Juan J. Trujillo

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

17 Citations (Scopus)

Abstract

Abstract The decomposition of a fractional linear system is discussed in this paper. It is shown that it can be decomposed into an integer order part, corresponding to possible existing poles, and a fractional part. The first and second parts are responsible for the short and long memory behaviors of the system, respectively, known as characteristic of fractional systems.

Original language	English
Article number	5738
Pages (from-to)	85-88
Number of pages	4
Journal	Signal Processing
Volume	114
DOIs	https://doi.org/10.1016/j.sigpro.2015.02.014
Publication status	Published - 15 Apr 2015

Keywords

Discrete differential system
Fractional linear systems
Impulse response
Mittag-Leffler function

Access to Document

10.1016/j.sigpro.2015.02.014

Cite this

@article{4a671d4d08af4a1fb53a922d280eebb6,

title = "Integer/fractional decomposition of the impulse response of fractional linear systems",

abstract = "Abstract The decomposition of a fractional linear system is discussed in this paper. It is shown that it can be decomposed into an integer order part, corresponding to possible existing poles, and a fractional part. The first and second parts are responsible for the short and long memory behaviors of the system, respectively, known as characteristic of fractional systems.",

keywords = "Discrete differential system, Fractional linear systems, Impulse response, Mittag-Leffler function",

author = "Ortigueira, {Manuel D.} and {Tenreiro Machado}, J. and Margarita Rivero and Trujillo, {Juan J.}",

note = "Sem PDF",

year = "2015",

month = apr,

day = "15",

doi = "10.1016/j.sigpro.2015.02.014",

language = "English",

volume = "114",

pages = "85--88",

journal = "Signal Processing",

issn = "0165-1684",

publisher = "European Association for Signal Processing | Elsevier",

}

TY - JOUR

T1 - Integer/fractional decomposition of the impulse response of fractional linear systems

AU - Ortigueira, Manuel D.

AU - Tenreiro Machado, J.

AU - Rivero, Margarita

AU - Trujillo, Juan J.

N1 - Sem PDF

PY - 2015/4/15

Y1 - 2015/4/15

N2 - Abstract The decomposition of a fractional linear system is discussed in this paper. It is shown that it can be decomposed into an integer order part, corresponding to possible existing poles, and a fractional part. The first and second parts are responsible for the short and long memory behaviors of the system, respectively, known as characteristic of fractional systems.

AB - Abstract The decomposition of a fractional linear system is discussed in this paper. It is shown that it can be decomposed into an integer order part, corresponding to possible existing poles, and a fractional part. The first and second parts are responsible for the short and long memory behaviors of the system, respectively, known as characteristic of fractional systems.

KW - Discrete differential system

KW - Fractional linear systems

KW - Impulse response

KW - Mittag-Leffler function

UR - http://www.scopus.com/inward/record.url?scp=84925302963&partnerID=8YFLogxK

U2 - 10.1016/j.sigpro.2015.02.014

DO - 10.1016/j.sigpro.2015.02.014

M3 - Article

AN - SCOPUS:84925302963

SN - 0165-1684

VL - 114

SP - 85

EP - 88

JO - Signal Processing

JF - Signal Processing

M1 - 5738

ER -

Integer/fractional decomposition of the impulse response of fractional linear systems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this