SYSEG — Symbolic state equation generation

Abstract

One of the most important goals for this study is to reveal an effective way to develop systematically the state equations that define the analog circuits (linear, non-linear, timeinvariant etc.) with excess elements. These equations can be depicted in various forms, like symbolic form, numeric-symbolic form, numeric-normal form. At the beginning, we designed the calculation method and afterwards we built the computer application, named SYSEG (SYSEG — Symbolic State Equation Generation), this software being able to obtain the normal form of the state equations. SYSEG does not calculate any inverse matrix, succeeding to get the compact form of the state equations through subsequent abridgements of the mathematic expressions. The first kind degeneracies are resolved in a unitary way in order to support the symbolic form to use a small number of state variables. The SYSEG application can work with circuits that have in their structure elements like: all types of linear controlled sources, independent sources (voltage and current), linear and non-linear resistors, capacitors and inductors. Also, this software is a very efficient instrument to be used for the symbolic analysis and for the circuits design (linear/non-linear time-invariant analog circuits).