Realization of a fractional-order RLC circuit via constant phase element

Analog Realization of a Fractional-Order Element on 0.35μm CMOS Technology

In this short note, we present the analog realization of a fractional-order differentiator of order α = 1/2 in 0.35 μm CMOS technology.

Analogue Realization of Fractional-Order Dynamical Systems

As it results from many research works, the majority of real dynamical objects are fractional-order systems, although in some types of systems the order is very close to integer order. Application of fractional-order models is more adequate for the description and analysis of real dynamical systems than integer-order models, because their total entropy is greater than in integer-order models wi...

Analog Realization of Fractional Order Circuits

Analog Realization of a Fractional Control Element - Revisited

Attempts up to now to develop an analog realization of a fractional order control (FOC) element have focused on constructing an approximation of the FOC using ideal resistor/capacitor networks.[1] In fact, an ideal capacitor cannot exist. An ideal dielectric in a capacitor having an impedance of the form 1/(jωC) would violate causality. It seems sensible to look for dielectric materials exhibit...

Stability analysis of fractional-order nonlinear Systems via Lyapunov method

‎In this paper‎, ‎we study stability of fractional-order nonlinear dynamic systems by means of Lyapunov‎ ‎method‎. ‎To examine the obtained results‎, ‎we employe the developed techniques on test examples‎.