Finding the oscillatory region in the order space is one of the most challenging problems in nonlinear fractional-order systems. This paper proposes a method to find the possible oscillatory region in the order space for a nonlinear fractional-order system. The effectiveness of the proposed method in finding the oscillatory region and special order sets placed in its boundary is confirmed by presenting some examples.
Toward Searching Possible Oscillatory Region in Order Space for Nonlinear Fractional-Order Systems
Contributed by the Design Engineering Division of ASME for publication in the Journal of Computational and Nonlinear Dynamics. Manuscript received May 18, 2013; final manuscript received July 19, 2013; published online October 30, 2013. Assoc. Editor: J. A. Tenreiro Machado.
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Tavazoei, M. S. (October 30, 2013). "Toward Searching Possible Oscillatory Region in Order Space for Nonlinear Fractional-Order Systems." ASME. J. Comput. Nonlinear Dynam. April 2014; 9(2): 021011. https://doi.org/10.1115/1.4025477
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