A new method for modeling complex system by conversion of the Laplace to the Z-transform

This paper introduces a method to simplify the modeling of complex systems. A matrix is developed to simplify the evaluation of coefficients of the recurrent procedure to model complex analog systems. The authors demonstrate that diverse devices are accurately modeled, and develop a validation process for recurrent models for linear and non-linear networks. The technique requires much less computation than traditional methods utilizing differential equations. The technique also allows the determination of the probability characteristics of random signals generated by analog systems of any complexity