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Stability of Fractional Order Systems
Joint Authors
Trujillo, Juan J.
Rivero, Margarita
Rogosin, Sergei V.
Tenreiro Machado, José António
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-13
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The theory and applications of fractional calculus (FC) had a considerable progress during the last years.
Dynamical systems and control are one of the most active areas, and several authors focused on the stability of fractional order systems.
Nevertheless, due to the multitude of efforts in a short period of time, contributions are scattered along the literature, and it becomes difficult for researchers to have a complete and systematic picture of the present day knowledge.
This paper is an attempt to overcome this situation by reviewing the state of the art and putting this topic in a systematic form.
While the problem is formulated with rigour, from the mathematical point of view, the exposition intends to be easy to read by the applied researchers.
Different types of systems are considered, namely, linear/nonlinear, positive, with delay, distributed, and continuous/discrete.
Several possible routes of future progress that emerge are also tackled.
American Psychological Association (APA)
Rivero, Margarita& Rogosin, Sergei V.& Tenreiro Machado, José António& Trujillo, Juan J.. 2013. Stability of Fractional Order Systems. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-1031823
Modern Language Association (MLA)
Rivero, Margarita…[et al.]. Stability of Fractional Order Systems. Mathematical Problems in Engineering No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-1031823
American Medical Association (AMA)
Rivero, Margarita& Rogosin, Sergei V.& Tenreiro Machado, José António& Trujillo, Juan J.. Stability of Fractional Order Systems. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-1031823
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031823