Switching scheme, equivalence, and analog validation of the alternative fractional variable-order derivative definition

In this paper, an alternative definition of variable-order differ-integral is proposed, both in a difference equation and matrix form. The derivation and explanation of the identity between the alternative definition and the reductive-switching scheme of variable-order derivative is introduced. Based on the switching scheme, an analog realization of the proposed variable-order derivative definition is presented. Moreover, obtained experimental results of the analog realization are compared with the numerical results.