Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
698043 | Automatica | 2009 | 5 Pages |
Abstract
The aim of this note is to highlight one of the basic differences between fractional order and integer order systems. It is analytically shown that a time invariant fractional order system contrary to its integer order counterpart cannot generate exactly periodic signals. As a result, a limit cycle cannot be expected in the solution of these systems. Our investigation is based on Caputo’s definition of the fractional order derivative and includes both the commensurate or incommensurate fractional order systems.
Related Topics
Physical Sciences and Engineering
Engineering
Control and Systems Engineering
Authors
Mohammad Saleh Tavazoei, Mohammad Haeri,