Equivalent switching strategy and analog validation of the fractional variable order derivative definition

Abstract

The paper presents switching strategy that is equivalent to one type of variable order derivative definitions. The numerical scheme, based on matrix approach, for this type of the definition is also introduced. Using this approach the identity of the switching strategy and considered definition is derived. The switching scheme can be used as an interpretation of this type of definition. Paper presents also numerical examples for introduced methods. Finally, the idea and results of analog (electrical) realization of the switching fractional order integrator (of orders 0.5 and 1) are presented and compared with numerical approach.