Abstract
The programming of differential equations on an ana log or hybrid computer usually requires that the system be scaled in both magnitude and time to pre vent overloading the amplifiers and to obtain the desired speed of solution. This paper, which is tutorial in nature, presents a systematic matrix method which may be used to scale differential equa tions written in state variable format. The proce dure requires estimates of the maximum values of each computer variable, and the technique is shown to be appZicabZe to both linear and nonlinear systems. The description of the method is followed by two illustrative examples, one linear and one nonlinear, and comments on an effective rescaling algorithm.
Get full access to this article
View all access options for this article.