Analyses booléenne et continue de systèmes comportant des boucles de rétroaction. III. Description algorithmique des approches booléenne et continue

Summary. — This paper reports the use of an original method in order to compare the boolean and continuous approaches. One makes use of an algorithmic description of their specific and fundamental functioning. A generalized description of the boolean approach is also proposed ; the new idea introduced is the use of a unique real variable (a generalized variable) to describe at the same time a boolean variable and the dynamic state of its on-and off-retarding devices. Thanks to this point of view it is rigorously shown that the boolean approach and the continuous approach with Heaviside functions have similar algorithm, i.e. fundamental functioning. What differs between them is the actual law governing the variation of the variables.