Symbolic Analysis of Networks Containing Fractional-Order Elements

This paper introduces a conception of a software tool for symbolic analysis of linear fractional-order circuits and also for other analyses which profit from the symbolic formulae: the semi-symbolic analysis of w-domain transfer function, AC analysis, zero-pole location, stability analysis, and step and impulse response computation. The analyses are based on the modified nodal approach (MNA), and the analyzed circuits may include arbitrary passive or active components with pre-defined MNA stamps.