Toward Searching Possible Oscillatory Region in Order Space for Nonlinear Fractional Order Systems

Abstract

Finding the oscillatory region in the order space is one of the most challenging problems in nonlinear fractionalorder systems. This paper proposes a method to find the possible oscillatory region in the order space for a nonlinear fractionalorder 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.