Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.22/3452
Título: Stability of fractional order systems
Autor: Rivero, Margarita
Rogosin, Sergei V.
Machado, J. A. Tenreiro
Trujillo, Juan J.
Data: 2013
Editora: Hindawi Publishing Corporation
Relatório da Série N.º: Mathematical Problems in Engineering; Vol. 2013
Resumo: 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.
Peer review: yes
URI: http://hdl.handle.net/10400.22/3452
ISSN: 1024-123X
Versão do Editor: http://www.hindawi.com/journals/mpe/2013/356215/
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