Technical communique: On the existence of periodic solutions in time-invariant fractional order systems

Authors:
M. Yazdani;H. Salarieh
Affiliations:
-;-
Venue:
Automatica (Journal of IFAC)
Year:
2011

Citing 2
Cited 2

Brief paper: A proof for non existence of periodic solutions in time invariant fractional order systems

Automatica (Journal of IFAC)
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Abstract

Periodic solutions and their existence are one of the most important subjects in dynamical systems. Fractional order systems like integer ones are no exception to this rule. Tavazoei and Haeri (2009) have shown that a time-invariant fractional order system does not have any periodic solution. In this article, this claim has been investigated and it is shown that although in any finite interval of time the solutions do not show any periodic behavior, when the steady state responses of fractional order systems are considered, periodic orbits can be detected.