Analog Modeling of Fractional-Order Elements: A Classical Circuit Theory Approach

Systems theory approach to analog circuit design

Analog circuits and and their interconnections, broadly called analog systems, are indispensable components of modern communication and electronic systems as well as electronic converters used in power systems. Almost all such circuits are built using active devices which require an external excitation for their operation. Active devices exhibit large sensitivity of performance to variations of...

Analog Circuit Behavioral Modeling

In this paper, we propose an auto-companding technique for the analog behavioral modeling via wavelet collocation method. The companding function is automatically constructed according to the singularities of the input-output function of the circuit block. Such a general-purpose technique can be applied for the automatic modeling of arbitrary building block of arbitrary input-output function. M...

Analog Circuit Modeling in SystemC

This paper proposes a methodology for the extension of SystemC to mixed signal systems. An oscillator made up of an inverter chain has been used to test the accuracy and stability of the algorithm proposed. Finally a simulation of a complex mixed-signal fuzzy controller is used to show the speed up achievable with a high level description of the analog block with respect to SPICE simulation.

Analog Realization of Fractional Order Circuits

Theory of Hybrid Fractional Differential Equations with Complex Order

We develop the theory of hybrid fractional differential equations with the complex order $thetain mathbb{C}$, $theta=m+ialpha$, $0<mleq 1$, $alphain mathbb{R}$, in Caputo sense. Using Dhage's type fixed point theorem for the product of abstract nonlinear operators in Banach algebra; one of the operators is $mathfrak{D}$- Lipschitzian and the other one is completely continuous, we prove the exis...